A Geometric Brownian Motion (GBM) Monte Carlo simulation is implemented with the given parameters using Excel.
The simulation tracks the value of S (stock price) over a 360-day period for 300 simulations. The equations used in the simulation process are explained, and the results are plotted. The expected value of ST and S0 is computed, and the relationship between them is discussed. The impact of a stochastic risk-free rate on the results is also considered.
In the GBM Monte Carlo simulation, the equation used for the simulation process is:
S(t+1) = S(t) * exp((mu - 0.5 * sigma^2) * dt + sigma * sqrt(dt) * Z),
where S(t) represents the stock price at time t, mu is the daily drift computed from the annual drift, sigma is the daily standard deviation computed from the annual standard deviation, dt is the time step (1 day), and Z is a random variable following a standard normal distribution.
To implement the simulation in Excel, you can use a loop to iterate over the 360-day period for each of the 300 simulations. For each iteration, generate a random value for Z using the NORM.INV function in Excel. Then, calculate the new stock price S(t+1) using the above equation. Repeat this process for each time step and simulation.
Once the simulations are completed, you can plot the results by selecting a few simulations and plotting the corresponding stock price values over time.
To compute the expected value of ST, you can take the average of the final stock prices across all simulations. Similarly, to compute the expected value of S0, you can take the average of the initial stock prices.
The relationship between E[ST] and E[S0] is that they both represent the average stock price but at different time points (end and start of the simulation). The difference between them is influenced by the drift, as the stock price tends to drift upwards over time due to the positive drift rate.
If the risk-free rate were stochastic and changing at every time step, it would introduce additional complexity to the simulation. The impact on the results would depend on the nature of the stochastic process used for the risk-free rate.
In general, a stochastic risk-free rate could affect the drift term in the GBM equation, potentially leading to more variability in the simulated stock prices and affecting the relationship between E[ST] and E[S0].
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A masonry chimney should be braced with horizontal metal straps every few feet against the structure and into reinforced points such as wall studs to stabilize the chimney from the shaking force of an earthquake.
a. True
b. False
Answer: True
Explanation:
The statement that "a masonry chimney should be braced with horizontal metal straps every few feet against the structure and into reinforced points such as wall studs to stabilize the chimney from the shaking force of an earthquake" is true.
In a scenario whereby the chimney isn't braced with the horizontal metal straps every few feet, this can lead to its collapse in case of an earthquake. Therefore, the correct option is "true".
A pipe 120 mm diameter carries water with a head of 3 m. the pipe descends 12 m in altitude and reduces to 80 mm diameter, the pressure head at this point is 13 m. Determine the velocity in the small pipe and the rate of discharge (in L/s)? Take the density is 1000 kg/m³.
Some of our modern kitchen cookware is made of ceramic materials. (a) List at least three important characteristics required of a material to be used for this application. (b) Make a comparison of three ceramic materials as to their relative properties and, in addition, to cost. (c) On the basis of this comparison, select the material most suitable for the cookware.
Answer:
A)
It should be Non- toxic
It should possess high Thermal conductivity
It should have the Required Thermal diffusivity
B)
stoneware : This material has good thermal diffusivity and it is quite affordable and it is used in making pizza stonesporcelain: mostly used for mugs and it is non-toxic Pyrex : posses good thermal conductivity used in ovenC) All the materials are suitable because they serve different purposes when making modern kitchen cookware
Explanation:
A) characteristics required of a ceramic material to be used as a kitchen cookware
It should be Non- toxicIt should possess high Thermal conductivityIt should have the Required Thermal diffusivityB) comparison of three ceramic materials as to their relative properties
stoneware : This material has good thermal diffusivity and it is quite affordable and it is used in making pizza stonesporcelain: mostly used for mugs and it is non-toxic Pyrex : posses good thermal conductivity used in ovensC) material most suitable for the cookware.
All the materials are suitable because they serve different purposes when making modern kitchen cookware
how to study thermodynamics?
It is study of the relationships between heat, temprature, work and energy
Represent each of the following combinations of
units in the correct SI form using an appropriate prefix:
(a) , (b) , and (c) .
The correct SI Form of the following combinations of Units are given as follows:
A) kN/μs = GN/s
B) Mg/mN; = Gg/N
C) MN/(kg.ms) = GN/(kg.s)
What is a SI Unit?The International System of Units, abbreviated SI in all languages and often pleonastically as the SI system, is the current version of the metric system and the world's most extensively used measuring system.
The System of Units, often known as the metric system, is frequently shortened as SI, which originates from the original French word, Système international d'unités.
A) kN/μs = (10) ³N/ (10) ⁻6s
= (10)⁹ N/s
= GN/s
B) Mg/mN = (10⁶)g/10⁻³/N
= Gg/N
C) MN/ (kg.ms) = 10⁶N/kg * (10⁻³)s
= 10⁹ (N/kg · s)
= GN/Kg · S)
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Full Question:
Represent Each Of The Following Combinations Of Units In The Correct Si Form Using An Appropriate Prefix:
A) kN/μs
B) Mg/mN; and
MN/(kg.ms)
Generic Motors (GM) is making plans for its weekly operation for next year. GM makes three lines of
cars: Luxury (L), Mid-sized (M), and Economy (E). They have divided the country into four regions:
Northeast (NE), Northwest (NW), Southeast (SE) and Southwest (SW). They have two factories that can
ship to the four distribution center via train. Each distribution center will need to provide cars to the
dealers in that region; this is done via trucking. Note that since customers need their cars within a week,
everything is built on a weekly production and shipment schedule. The following information is included:
1) Production costs and capacities at the two factories for the three lines.
2) Retail cost of the three lines.
I
3) A weekly demand model for each of the four regions.
4) Shipping information from the factories to the distribution center of the four regions.
5) Shipping information from the distribution center to the dealers.
You have been asked to maximize the expected weekly profit for GM.
Make sure the spreadsheet is well documented! Use the color coding and headers we used all
semester long. You do not need to reproduce the spreadsheet in the report except the decision tree,
and a summary of your results.
The steady-state data listed below are claimed for a power cycle operating between hot and cold reservoirs at 1200 K and 400 K, respectively. For each case, evaluate the net power developed by the cycle, in kW, and the thermal efficiency. Also in each case apply the equation below on a time-rate basis to determine whether the cycle operates reversibly, operates irreversibly, or is impossible.
(a) Qh(dot)=600 kW, Qc(dot)=400 kW
(b) Qh(dot)=600 kW, Qc(dot)=0 kW
(c) Qh(dot)=600 kW, Qc(dot)=200 kW
∮ (δQ/T)_b = -σ_cycle
Answer:
(a) Qh(dot)=600 kW, Qc(dot)=400 kW is an irreversible process.
(b) Qh(dot)=600 kW, Qc(dot)=0 kW is an impossible process.
(c) Qh(dot)=600 kW, Qc(dot)=200 kW is a reversible process.
Explanation:
T(hot) = 1200k, T(cold) = 400
efficiency n = (Th - Tc ) / Tc
n = (1200 - 400) / 1200 = 0.667 (this will be the comparison base)
(a)
Qh = 600 kW, Qc = 400 kW
n = (Qh - Qc) / Qh ⇒ (600 - 400) / 600
n = 0.33
0.33 is less than efficiency value from temperature 0.67
∴ it is irreversible process
(b)
Qh = 600 kW, Qc = 0
n = (Qh - Qc) / Qh ⇒ (600 - 0) / 600 = 1
efficiency in any power cycle can never be equal to one.
∴ it is an impossible process.
(c)
Qh = 600 kW, Qc = 200 kW
n = (Qh - Qc) / Qh = (600 - 200) / 600
n = 0.67 (it is equal to efficiency value from temperature)
∴ it is a reversible process
Installation a2 An insulated rigid tank initially contains 1.4-kg saturated liquid
water and water vapor at 200°C. At this state, 25 percent of the
volume is occupied by liquid water and the rest by vapor. Now an
electric resistor placed in the tank is turned on, and the tank is
observed to contain saturated water vapor after 20 min. Determine
(a) the volume of the tank, (b) the final temperature, and (c) the
electric power rating of the resistor
nd demo of reaper in Mahindra Yuvo 575 DI tractor
Answer:
Explanation:
It appears that you are trying to solve a problem involving an insulated rigid tank containing saturated liquid water and water vapor. To determine the volume of the tank, you will need to know the mass of the liquid water and the mass of the water vapor. The mass of the liquid water can be calculated by multiplying the mass of the water and vapor mixture by the fraction of the mixture that is liquid water (1.4 kg * 0.25 = 0.35 kg). The mass of the water vapor can be calculated by subtracting the mass of the liquid water from the total mass of the mixture (1.4 kg - 0.35 kg = 1.05 kg).
To determine the final temperature of the tank, you will need to know the amount of heat added to the tank by the electric resistor and the specific heat capacity of the water and water vapor mixture. The specific heat capacity is a measure of the amount of heat required to raise the temperature of a substance by a certain amount. The specific heat capacity of water is 4.186 J/g°C, and the specific heat capacity of water vapor is 2.080 J/g°C.
To determine the electric power rating of the resistor, you will need to know the amount of heat added to the tank by the resistor and the time over which the heat was added. The power rating of the resistor is equal to the amount of heat added to the tank divided by the time over which the heat was added.
I hope this helps clarify the problem and provide some guidance on how to solve it. If you have any further questions or need additional help, please don't hesitate to ask.
Help this is very hard and I don't get it
Answer:
yes it is very hard you should find a reccomended doctor to aid in your situation. But in the meantime how about you give me that lil brainliest thingy :p
Refrigerant-134a enters the condenser of a steady-flow Carnot refrigerator as a saturated vapor at 90 psia, and it leaves with a quality of 0.05. The heat absorption from the refrigerated space takes place at a pressure of 30 psia. Show the cycle on a T-s diagram relative to saturation lines, and determine (a) the coefficient of performance, (b) the quality at the beginning of the heat-absorption process, and (c) the net work input.
The cycle on a T-s diagram relative to saturation lines, and determine the quality at the beginning of the heat-absorption process.
What is heat-absorption ?A form of energy is heat. Heat changes the state of a substance by weakening and rupturing the inter-particle bonds (solid to liquid for example). It is NOT necessary for heat to raise the temperature for a phase transition to occur.When warm red light is shone on a blue object, for instance, it will absorb the light and become warmer than if the same light were shone on a red object and it would reflect it.Stone, cast iron, and aluminum are examples of what are known as "sensitive heat materials," which noticeably heat up when they absorb heat. Our senses instantly inform us of this.To learn more about heat-absorption refer to:
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A river system is an example of _____________. A. a material cycle only B. a closed flow system C. an energy flow system only D. a matter and energy flow system
Answer:
A. a material cycle
Explanation:
The material cycle is the cycle of materials on the Earth through living organisms and the environment.
Technician A says that a tapered roller bearing assembly has less rolling resistance than a similarly sized ball bearing assembly. Technician B says that the bearing assembly in a unitised wheel bearing assembly can normally be disassembled, cleaned, and repacked. Who is correct?
Technician A says that a tapered roller bearing assembly has less rolling resistance than a similarly sized ball bearing assembly. Technician B says that the bearing assembly in a unitized wheel bearing assembly can normally be disassembled, cleaned, and repacked. The technician that is correct is Technician B.
What is a Tapered Roller Bearing Assembly?A cup and cone assembly is used in tapered roller bearings. The cup is made up of the outer ring, and the cone assembly is made up of the inner ring, rollers, and cage. This bearing design accommodates combined loads while maintaining minimal friction during operation.
A roller bearing is a cylindrical element that allows a bushing or bearing block to move with little friction.
A ball bearing is a spherical unit with the same purpose as a roller bearing. The real distinction is the contact surface between the bearing and the rail.
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What is an example of an innovation in logistics?
Group of answer choices
using drones to deliver retail packages
designing a robot that performs surgery
hiring engineers to teach high school classes
eye-scanning locking devices in everyday homes
Answer:
geolocation technologies, drones, automated transportation vehicles
Explanation:
The map of the points and polygons of a model laid out in a 2-dimensional space is:
a tile
a UV map
a bitmap
a topography
Estimate properties and pipe diameter Determine the diameter of a steel pipe that is to carry 2000 gal/min of gasoline with a pressure drop of 5 psi per 100 ft of horizontal pipe. Pressure drop is a function of flow rate, length, diameter, and roughness. Either iterative methods OR equation solvers are necessary to solve implicit problems. Total head is the sum of the pressure, velocity, and elevation. What is the density of gasoline
Answer:
Diameter of pipe is 0.535 ft
Explanation:
see attachment, its works out 1st half
what do find interesting about engineering
A career in engineering is interesting and fun. It involves a lifetime of continuous learning to adapt to changes in society and the natural world. It often involves working in multi-disciplinary, multi-cultural, multi-site teams.
Neglect the mass of various members and all friction in this problem. Determine the pin force at A. ABC is a single bar. Caution: This problem is not metric!
To determine the pin force at point A, we need additional information such as the applied loads, dimensions, and geometry of the bar ABC. Without these specific details, it is not possible to provide a precise answer.
However, in general, to calculate the pin force at point A, we would need to perform an equilibrium analysis of the forces acting on the bar. This would involve considering external loads, reactions at the supports, and any internal forces within the bar. By applying the principles of statics and summing the forces and moments, we can solve for the pin force at point A.
To proceed with a detailed analysis and provide an accurate answer, please provide the necessary information, such as the applied loads, dimensions, and any other relevant details about the bar ABC.
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Lean manufacturing uses: Multiple select question. less resources more time less time more resources
Lean manufacturing uses the principles of less resources and **less time.
Lean manufacturing is an approach focused on maximizing efficiency and minimizing waste in production processes. It aims to eliminate activities that do not add value to the final product while optimizing the use of resources. Two key principles of lean manufacturing are:
1. **Less resources**: Lean manufacturing encourages the efficient use of resources such as raw materials, energy, and labor. By minimizing waste and eliminating non-value-added activities, the goal is to optimize resource utilization and reduce unnecessary costs. This can involve techniques such as inventory control, reducing material waste, and improving production planning and scheduling.
2. **Less time**: Lean manufacturing emphasizes the reduction of lead times and cycle times in production. It aims to streamline processes, eliminate bottlenecks, and minimize idle time to increase overall productivity. By reducing time wasted in waiting, transportation, or excessive handling, lean manufacturing seeks to improve efficiency and responsiveness to customer demands.
In contrast, the options of **more time** and **more resources** are not typically associated with lean manufacturing principles. Lean manufacturing focuses on eliminating waste and creating a lean, efficient production system, which involves reducing both resource usage and time requirements.
By implementing lean manufacturing practices, organizations can achieve improved productivity, quality, and customer satisfaction while minimizing costs and waste throughout the production process.
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Consider an air solar collector that is 1 m wide and 5 m long and has a constant spacing of 3 cm between the glass cover and the collector plate. Air flows at an average temperature of 45 C at a rate of 0. 15 m3/s through the 1-m wide edge of the collector along the 5-m-long passageway. Disregarding the entrance and roughness effects and the 90 bend, determine the pressure drop in the collector
Disregarding the entrance and roughness effects and the 90 bend, the pressure drop in the collector is 32.27 Pa
How to calculate the pressureUsing the Darcy-Weisbach equation, we can calculate the pressure drop in the collector by taking into account friction factor, length, diameter, and fluid velocity. Nevertheless, as a non-circular shape complicates matters, the equivalent diameter should be established by calculating the cross-sectional area first.
In order to do this, the cross-sectional area of the passage within the collector needs to be computed:
In conclusion, the pressure drop in the collector is 32.27 Pa. Check the attachment.
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hw2.3: consider a power transistor encapsulated in an aluminum case that is attached at its base to a square aluminum plate of thermal conductivity k
The aluminum case of a power transistor that is attached to a square aluminum plate of thermal conductivity k is considered in this problem. A power transistor is a type of transistor that is designed to handle high power levels,
Making it suitable for use in power amplifiers, voltage regulators, and other applications that require high currents and voltages.The thermal conductivity of a material is a measure of how well it conducts heat. The higher the thermal conductivity of a material, the better it is at transferring heat from one place to another. Aluminum is a good conductor of heat, with a thermal conductivity of around 200 W/m·K.
This means that it can transfer heat quickly and efficiently from the transistor to the plate.The problem asks us to consider the heat transfer from the transistor to the plate, and to determine the temperature rise of the transistor as a result.
We can use the following equation to calculate the temperature rise:
ΔT = P * Rθ
where ΔT is the temperature rise in degrees Celsius, P is the power dissipated by the transistor in watts, and Rθ is the thermal resistance from the transistor to the plate in degrees Celsius per watt.
The thermal resistance can be calculated using the following equation:
Rθ = t/kA
where t is the thickness of the aluminum case, k is the thermal conductivity of aluminum, and A is the surface area of the aluminum case. We can assume that the thickness of the case is uniform and that the surface area is equal to the area of the base of the case, since this is where the case is attached to the plate.
The power dissipated by the transistor can be calculated using the following equation:
P = VCE * IC
where VCE is the voltage across the collector and emitter terminals of the transistor, and IC is the current flowing through the collector terminal. We can assume that the voltage and current are constant, since the transistor is designed to operate at a specific voltage and current level.
To calculate the temperature rise of the transistor, we need to determine the values of P and Rθ, and then substitute them into the equation for ΔT. We can then solve for ΔT to obtain the temperature rise in degrees Celsius.
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SAFe Lean-Agile Principles (9 total)
The SAFe Lean-Agile principles form the foundation of the framework and guide organizations in adopting an agile mindset.
SAFe (Scaled Agile Framework) is a methodology for scaling agile practices to larger organizations. The SAFe Lean-Agile principles form the foundation of the framework and guide organizations in adopting an agile mindset. The nine SAFe Lean-Agile principles are:
1)Take an economic view: Understand and optimize the flow of value through the organization to drive economic outcomes.
2)Apply systems thinking: Consider the organization as a complex system of interdependent parts and optimize the whole, not just the individual components.
3)Assume variability and preserve options: Embrace uncertainty and variability by creating options for decision-making as late as possible.
4)Build incrementally with fast, integrated learning cycles: Build solutions incrementally through fast feedback loops to ensure that they meet the customer's needs.
5)Base milestones on objective evaluation of working systems: Define milestones based on working systems, not on intermediate artifacts or milestones.
6)Visualize and limit WIP (work in progress), reduce batch sizes, and manage queue lengths: Limit the amount of work in progress to reduce lead time and increase efficiency.
7)Apply cadence, synchronize with cross-domain planning: Establish a regular, predictable cadence for all work and align planning across domains to enable cross-functional collaboration.
8)Unlock the intrinsic motivation of knowledge workers: Foster a culture that supports autonomy, mastery, and purpose to motivate and engage knowledge workers.
9)Decentralize decision-making: Empower those closest to the work to make decisions and enable decentralized decision-making across the organization.
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3/4 + 1/2
Ashskfnrjcisj
1. Please describe the development trend and construction focus of the future departure system in combination with the relevant content of smart airport construction.
2. Combined with the relevant content of the course, please explain the relationship between the departure system and other systems in the civil aviation transportation system, as well as its status and role.
The future departure system's development trend in the construction of smart airports is focused on improving productivity, automation, and passenger experience.
Airports are investing in intelligent solutions to streamline the departure process in response to technological improvements and the rising demand for air travel.
These solutions are designed to shorten wait times, enhance security, and facilitate smooth travel.
Significant development regions consist of:
Check-in via self-service.Electronic bag drop.Using biometric identification.Information that is current.A smooth security check.The departure system, which works closely with other systems to guarantee that air travel runs without a hitch, is an essential feature of the civil aviation transportation system.
You can sum up its interaction with other systems as follows:
Baggage handling and check-in system.Security apparatus.Information systems for flights.Thus, the aviation transportation system is essential for ensuring that planes depart on time and in an organised manner, maximising passenger flow.
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the control circuit must produce an output of 1 if at least two of the conditions 1,2 and 3 are true. design the simplest circuit that can be used for this purpose.
The simplest circuit that can be used for the control circuit must produce an output of 1 if at least two of the conditions 1,2 and 3 are true is given below.
What is control circuit?A special kind of circuit known as a control circuit is used to regulate the performance of a totally independent power circuit. Think about a water pump being driven by a 1,000 horsepower, large industrial motor. A high voltage electrical source with a 2,400 volt output is connected to the motor.
For the safety of the operator and the machinery, a control circuit is used to ensure that the motor is started and stopped safely.
The thermostat for a home's air conditioner is an illustration of a control circuit that is frequently used. The thermostat is a component of a low-voltage control circuit that manages a relay that actually activates and deactivates the power circuit to the air conditioner compressor.
See the given attachment below for the simplest circuit↓↓
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ký hiệu của vật liệu cơ khí
Answer:
by hìuuf5ëcz
Explanation:
6tgiïuggd
During this experiment, it was important to keep some parameters constant so we can compare the efficiency of different alcohols. Which one of the parameter was not constant?.
The purification of a wide range of materials involves the use of distillation, a significant commercial procedure.
The purification of a wide range of materials involves the use of distillation, a significant commercial procedure. However, it would definitely be helpful to clarify the terms that describe the procedure and related qualities before we start a discussion of distillation.
Although you may be familiar with several of these terms, you might not be aware of their precise definitions. Let's start by outlining the procedure for changing a material from its condensed phase to its gas phase. This process is known as sublimation for solids and vaporization for liquids. Both procedures call for heat.
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How to stop water from coming into my basement
To stop water leakage from coming into your basement, there are several measures you can take.
How is this so?First, ensure proper grading around your home's foundation to direct water away. Install and maintain gutters and downspouts to carry water away from the foundation.
Seal any cracks or gaps in the basement walls or floors. Consider installing a sump pump system to pump out water that enters the basement.
Also, improve exterior drainage by installing French drains or landscaping features to divert water away from the foundation.
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Write the distributeCurrentPlayerTokens method. The tokens are collected and removed from the game board at the current player's position. These tokens are distributed, one at a time, to each player, beginning with the next higher position, until there are no more tokens to distribute
The distribute Current Player Tokens method for the tokens are collected and removed from the game board at the current player's position is stated in code in Java below:
Why do we use public void?The Java application's main method is created by using the keyword public static void main. The program's primary method, it is what all others are called. For difficult command-line processing, it accepts parameters but cannot return values. Both generate a void method (a method with no return value), but only the public void method is accessible to classes outside the one that created it. Only the class in which the private method is contained may utilise it. It is a keyword that is employed to indicate that a method returns nothing. The main() method's return type is void because it doesn't produce a result. The code is:
public void distributeCurrentPlayerTokens()
{
int numTokens = board[currentPlayer];
board[currentPlayer] = 0;
int i = currentPlayer;
while (numTokens > 0)
{
i = (i+1) % board.length; 1
board[i]++;
numTokens--;
}
}
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we wish to design a closed circuit supersonic wind tunnel that produces a mach 2.8 flow at standard sea level conditions in the test section and has a mass flow rate of air of 15 kg/s. calculate the necessary reservoir pressure and temperature, the nozzle throat area, the test section area, and the diffuser throat area. assume a worst case stagnation pressure loss in the test section based on a normal shock.
How fast is the fastest wind tunnel?
The JF-22 wind tunnel, which would be the fastest in the world, would be situated in the Huairou District of northern Beijing and be capable of simulating flights at speeds of up to 10 km/s, or 30 times the speed of sound.
What is wind tunnel?They measure conditions that affect aircraft and other equipment, such as elevation, drag, shockwaves, and others. that speed against the wind. Additionally, those tunnels can assist engineers in figuring out how wind interacts with stationary objects like buildings and bridges and finding ways to strengthen and make them safer.Learn more about wind tunnels here:
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Air is contained inside a vertical piston-cylinder assembly by a piston of mass 105 kg and face area of 0.05 m2 . The mass of air inside the cylinder is 20 grams, and the air initially occupies a volume of 50 liters. The atmosphere exerts a pressure of 101.3 kPa on the top of the piston. The volume of the air slowly decreases to 0.005 m3 , while maintaining constant pressure, as the specific internal energy of the air decreases by 175 kJ/kg. Neglecting friction between the piston and the cylinder wall, determine the heat between the surroundings and the air inside the piston-cylinder assembly in kJ
Answer:
ΔQ = 1.06 KJ
Explanation:
The amount of heat transfer between the piston-cylinder system and the surrounding can easily be found by using the First Law of Thermodynamics. The first law of thermodynamics can be written as follows:
ΔQ = ΔU + W
ΔQ = mΔu + PΔV
where,
ΔQ = Heat transfer between system and surrounding = ?
Δu = specific change in internal energy of the system = - 175 KJ/kg
m = mass of air = 20 g = 0.02 kg
P = Constant Pressure = 101.3 KPa
ΔV = Change in Volume = 0.05 m³ - 0.005 m³ = 0.045 m³
Therefore,
ΔQ = (0.02 kg)(-175 KJ/kg) + (101.3 KPa)(0.045 m³)
ΔQ = -3.5 KJ + 4.56 KJ
ΔQ = 1.06 KJ