48.5 × 10² km could the car travel on the 20.4 gal of fuel.
What is Chemical Reaction ?A chemical reaction is a process in which chemical bonds between atoms to break and reorganize, to form a other new substances.
Now write the chemical equation for isooctane
\(C_{8}H_{18} (l) + \frac{25}{2} O_{2} (g) \rightarrow 8CO_{2} (g) + 9H_{2} O (g) ,\,\,\, \Delta H_{\txt{rxn}}^{\circ} = -5.44 \times 10^{3}\ \text{kJ/mol}\)
Isooctane volume (V) = 20.4 gal
Isooctane density (d) = 0.692 g/mL
Now, find the energy released during the reaction
\(E = 20.4\ \text{gal}\ C_{8}H_{18} \times \frac{3.78\ L}{1\ \text{gal}} \times \frac{1000\ mL}{1.0\ L} \times \frac{0.692\ g}{1\ mL} \times \frac{1\ \text{mol}\ C_{8}H_{18}}{114.0\ g\ C_8H_{18}} \times \frac{-5.44 \times 10^3\ kJ}{1\ \text{mol}\ C_8H_{18}}\)
= -2.55 × 10⁶ kJ
Now if the whole energy is transfer to wheel, then
\(= 2.55 \times 10^{6}\ kJ \times \frac{1\ h}{5.5 \times 10^4\ kJ} \tims \frac{65\ \text{miles}}{1\ h} \times \frac{1.6093\ km}{1\ \text{mile}}\)
= 48.5 × 10² km
Thus from the above conclusion we can say that 48.5 × 10² km could the car travel on the 20.4 gal of fuel.
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A sphere of radius 0.457 m, temperature 32.2 ∘
C, and emissivity 0.924 is located in an environment of temperature 82.9 ∘
C. At what rate does the sphere (a) emit and (b) absorb thermal radiation? (c) What is the sphere's net rate of energy exchange? (a) Number (b) Number Units Units
a) The sphere emits thermal radiation at a rate of 139.75 Watts.
b) The sphere absorbs thermal radiation at a rate of 37.66 Watts.
c) The sphere's net rate of energy exchange is 102.09 Watts.
What are the rates of thermal radiation emission, absorption, and net energy exchange for the sphere?To calculate the rates of thermal radiation emission and absorption, we can use the Stefan-Boltzmann law, which states that the rate of thermal radiation emitted or absorbed by an object is proportional to its surface area, temperature, and the Stefan-Boltzmann constant.
a) The rate of thermal radiation emitted by the sphere can be calculated using the formula:
Emitting Rate = emissivity * surface area * Stefan-Boltzmann constant * (\(temperature^4 - environment\ temperature^4\))
Plugging in the given values:
Emitting Rate = \(0.924 * (4\pi * (0.457)^2) * 5.67 \times 10^{-8} * ((32.2 + 273.15)^4 - (82.9 + 273.15)^4)\)
Emitting Rate ≈ 139.75 Watts
b) The rate of thermal radiation absorbed by the sphere can be calculated in a similar way but using the environment temperature as the object's temperature:
Absorbing Rate = emissivity * surface area * Stefan-Boltzmann constant * (\(environment\ temperature^4 - temperature^4\))
Plugging in the given values:
Absorbing Rate = \(0.924 * (4\pi * (0.457)^2) * 5.67 \times 10^{-8} * ((82.9 + 273.15)^4 - (32.2 + 273.15)^4)\)
Absorbing Rate ≈ 37.66 Watts
c) The net rate of energy exchange is the difference between the emitting rate and the absorbing rate:
Net Rate = Emitting Rate - Absorbing Rate
Net Rate = 139.75 Watts - 37.66 Watts
Net Rate ≈ 102.09 Watts
Therefore, the sphere emits thermal radiation at a rate of 139.75 Watts, absorbs thermal radiation at a rate of 37.66 Watts, and has a net rate of energy exchange of 102.09 Watts.
Note: The units for all the rates are Watts.
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J
Question 7 of 25
Why are many scientists dependent on the government for funding?
OA. The government is in control of all public research.
OB. Research is often too expensive to do without the government's
help.
C. Scientists have no other source of money.
OD. Scientists can do only the research the government will pay for.
Many scientists are dependent on the government for funding for many reasons. One of the main reasons is that research is often too expensive to carry out without the help of the government. Option b)
The government plays a major role in scientific research, especially in areas of national interest. Government research funding plays an important role in promoting scientific inquiry and advancing knowledge of the natural world. The government is in charge of allocating research funds to public and private organizations. For scientists who want to carry out their research, it can be challenging to find funding from other sources, such as private companies.
As a result, the majority of researchers rely on government grants to finance their work. This dependence on government funding has advantages and disadvantages . One of the advantages is that it ensures that scientific research is carried out in areas that are of national interest. By prioritizing funding for specific areas, the government can direct research toward those issues that are considered important to the country. Another advantage is that it can lead to more innovation. Government grants often provide funding for research that might not be carried out otherwise, such as new technologies or techniques. This can result in breakthroughs that lead to new products, services, or ideas.However, there are also some disadvantages to being dependent on government funding. One of the main drawbacks is that it can lead to a lack of independence. Researchers who rely on government grants may feel obligated to focus on areas that the government deems important, rather than pursuing their own interests or those that are considered unconventional. Another disadvantage is that government funding can be unpredictable. Grants are usually awarded for a limited period of time and may be subject to budget cuts or changes in priorities. As a result, scientists may have to constantly seek new sources of funding or may be forced to abandon their research projects. Hence option b) is correct.
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The average the temperature of the planets
Answer: Mercury - 800°F (430°C) during the day, -290°F (-180°C) at night. Venus - 880°F (471°C) Earth - 61°F (16°C) Mars - minus 20°F (-28°C)
Explanation: hope this helps!
What mass of ZnO is formed when 29.2 g of MoO3is reacted with 17 g of Zn
Answer:
21.16 g
Explanation:
Balance the equation
3 Zn + 2 MoO3 = Mo2O3 + 3 ZnO
And prepare their molar masses
Zn - 65.38
MoO3 - 143.96
Mo2O3 - 239.92
ZnO - 81.38
Since Zn is the limiting reagent; (you can determine this by trial and error but I'm too lazy), basically 29.2 g of MoO3 needs 19.892 g of Zn to react; while 17 g of Zn would need 24.955 g of MoO3 so we have shiet leftover. So we should always use the limiting reagent, in this case,
Zn
as it gets used up completely.
Anyway:
We can now solve using the ratio between Zn and ZnO.
(17 g of Zn /
65.38 g per Zn) x (3 mol of ZnO / 3 mol of Zn) x (81.38 g per ZnO / 1 mol of ZnO) = 21.16 g of ZnO
sooooo you get
21.16 g
(typing this on mobile and kinda hungover so yea)
which of the following is the cyclic hemiacetal formed from 4-hydroxyheptanal?
The cyclic hemiacetal formed from 4-hydroxyheptanal is a molecule in which the aldehyde group (CHO) reacts with the hydroxyl group (OH) on the fourth carbon to create a cyclic structure. To determine this, follow these steps:
1. Identify the functional groups: In 4-hydroxyheptanal, you have an aldehyde group (CHO) at one end and a hydroxyl group (OH) on the fourth carbon.
2. Locate the reaction sites: The aldehyde group (CHO) will react with the hydroxyl group (OH) on the fourth carbon.
3. Form the cyclic structure: The oxygen of the hydroxyl group (OH) forms a bond with the carbonyl carbon (C=O) of the aldehyde group, creating a cyclic structure with a five-membered ring (including the oxygen).
4. Create a hemiacetal: The carbonyl carbon becomes a new chiral center, and an OH group is attached to it, resulting in a cyclic hemiacetal.
The cyclic hemiacetal formed from 4-hydroxyheptanal is a molecule with a five-membered ring structure (including the oxygen), where the carbonyl carbon of the aldehyde group has reacted with the hydroxyl group on the fourth carbon, resulting in a new chiral center with an OH group attached to it.
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Consider the two alternatives below. Use Bic Analysis to suggest a choice. Include CFDs, calculations, and words to make your conclusion. i = 15% First cost Annual Revenue Annual Expense Salvage Useful life BU, 500 1,600 $400 #6,000 $1,850 $900 $1,200 $800 8 yrs 10 yrs
If the discount rate is 15%, Alternative 1 is the better choice from a financial perspective.
To suggest a choice between the two alternatives using Bic Analysis, we need to calculate the net present value (NPV) and the internal rate of return (IRR) for each alternative.
Alternative 1:
First cost (BU): $500
Annual Revenue: $1,600
Annual Expense: $400
Salvage: $6,000
Useful life: 8 years
Alternative 2:
First cost (BU): $900
Annual Revenue: $1,200
Annual Expense: $800
Salvage: $6,000
Useful life: 10 years
1. Calculate the Net Present Value (NPV) for each alternative. NPV takes into account the time value of money by discounting future cash flows to their present value using a specified rate of return (i). Let's assume the discount rate (i) is 15%.
Alternative 1 NPV:
NPV = -BU + (Annual Revenue - Annual Expense) * (1 - (1 + i)^(-Useful life)) / i + Salvage / (1 + i)^Useful life
NPV = -$500 + ($1,600 - $400) * (1 - (1 + 0.15)^(-8)) / 0.15 + $6,000 / (1 + 0.15)^8
Alternative 2 NPV:
NPV = -BU + (Annual Revenue - Annual Expense) * (1 - (1 + i)^(-Useful life)) / i + Salvage / (1 + i)^Useful life
NPV = -$900 + ($1,200 - $800) * (1 - (1 + 0.15)^(-10)) / 0.15 + $6,000 / (1 + 0.15)^10
2. Calculate the Internal Rate of Return (IRR) for each alternative. IRR is the discount rate that makes the NPV of an investment equal to zero.
Alternative 1 IRR:
Set NPV = 0 and solve for i.
NPV = -$500 + ($1,600 - $400) * (1 - (1 + i)^(-8)) / i + $6,000 / (1 + i)^8 = 0
Alternative 2 IRR:
Set NPV = 0 and solve for i.
NPV = -$900 + ($1,200 - $800) * (1 - (1 + i)^(-10)) / i + $6,000 / (1 + i)^10 = 0
3. Compare the NPV and IRR results for each alternative.
- If the NPV is positive and the IRR is greater than the discount rate (15%), then Alternative 1 is a better choice.
- If the NPV is positive and the IRR is greater than the discount rate (15%), then Alternative 2 is a better choice.
- If both alternatives have negative NPV or IRR less than the discount rate (15%), neither alternative is recommended.
By calculating the NPV and IRR for each alternative using the provided values, you can determine which alternative is more financially viable based on the given discount rate.
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An aqueous solution of hydrogen
peroxide, H₂O₂, decomposes to
form water and oxygen gas. Write
a balanced symbol equation,
including state symbols, for this
reaction.
When hydrogen peroxide
decomposes, what mass of
hydrogen peroxide is needed
in solution to produce 1.6g of
Oxygen gas?
According to the equation, hydrogen peroxide in aqueous solution breaks down upon heat to produce oxygen: 2H2O2(aq)→2H2O(l)+O2(g).
To make 1.6g of oxygen gas, 34g of hydrogen peroxide must be in solution.
equation:
2H2O2 —————— O2 to 2H2O mole ratio is 2: 2: 1 RMM of O2 - (16*2) = 32 RFM of H2O2 - (1*2) + (16*2) = 34
1 Mole of O2 in 32 g? 1.6 g 1.6/32 = 0.5 moles
0.5*2 = 1 MOLE OF H2O2 and 34*34 = 34 g.
A hydrogen's position.It is mainly present in Jupiter, and is present in the sun and the majority of stars. Water is where hydrogen is found most frequently on Earth. It only occurs as a gas in the atmosphere at trace concentrations, less than 1 part per minute by volume.
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What is an Experimental Percentage Yield Explained.
The experimental percentage yield is the ratio of the actual yield of the product of a reaction to its theoretical yield multiplied by 100.
What is percentage yield?Percentage yield of a reaction is used to study the efficiency of a chemical reaction. It is the ratio of the actual yield to the theoretical yield multiplied by 100.
The actual yield of a reaction is the experimentally obtained value and it will be less than theoretical yield which is derived from the balanced chemical equation of the reaction.
For example if 5 g be the actual yield of the product in a reaction, but the theoretical or expected yield derived from the equation be 7 g.
then the percentage yield = 5 /7 × 100 = 71.4 %.
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It is 762 miles from here to Chicago. An obese physics teacher jogs at a rate of 5.0 miles every 20.0 minutes. How long would it take him to jog to Chicago if he jogged continuously and REALLY wanted to get there?
Answer:
3,048 minutes
Explanation:
762 divided by 5
that number times 20
The time required for a physics teacher to jog continuously and REALLY wanted to get there will be 50 hours and 48 minutes.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
It is 762 miles from here to Chicago. An obese physics teacher jogs at a rate of 5.0 miles every 20.0 minutes.
Then the speed of the physics teacher will be
Speed = 5 / (20 / 60)
Speed = 15 miles per hour
The time required for a physics teacher to jog continuously and REALLY wanted to get there will be
15 = 762 / T
T = 762 / 15
T = 50.8 hours
T = 50 hours and 48 minutes
The time required for a physics teacher to jog continuously and REALLY wanted to get there will be 50 hours and 48 minutes.
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if 6 moles of a a compound produce 84 J of energy, what is the h reaction in j/mol
The enthalpy of the reaction is 14 J/mol.
The enthalpy of a reaction (ΔH) is the amount of energy transferred between a system and its surroundings during a chemical reaction at constant pressure, measured in joules per mole (J/mol). This value is important because it can tell us whether a reaction is exothermic or endothermic, as well as give us information about the strength of chemical bonds within the reactants and products.To calculate the enthalpy of a reaction, we need to know the amount of energy released or absorbed (Q) and the number of moles of the compound involved in the reaction (n). We can use the equation:
ΔH = Q/n
Given that 6 moles of a compound produce 84 J of energy, we can calculate the enthalpy of the reaction as follows:
ΔH = Q/n
ΔH = 84 J / 6 mol
ΔH = 14 J/mol
This means that for every mole of the compound involved in the reaction, 14 J of energy is transferred between the system and the surroundings. Since the value is positive, we can conclude that the reaction is endothermic, meaning that it requires an input of energy to occur.It is worth noting that the enthalpy of a reaction can depend on a number of factors, such as temperature, pressure, and the specific conditions under which the reaction occurs. As such, it is important to take these factors into account when calculating or predicting enthalpy values.
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Which element is malleable in period 3?.
Aluminum is the metal in period 3 which is highly malleable in nature.
Another typical element found on earth, aluminium makes up roughly 8% of the planet's crust. The material's smooth surface and silvery-white color make it easy to identify. Innumerable products, including as airplanes, space shuttles, high-speed trains, building components, and the power lines, cellphones, computers, and more, use aluminum because of its amazing lightness and ability to withstand corrosion.
Aluminum is a remarkably ductile substance that can be stretched between the 50 and 70 percent of the way before snapping. It is also very flexible and has a lower melting point of 660°C, which make it easy to work with.
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Help me pretty please
Answer:
C
Explanation:
Answer:
I think ur answer would be C.)
Explanation:
hope this helps
3. Which of the following is not a compound?
water
potassium iodide
B
sodium chloride
D hydrogen
what are the 3 different important words for carbon cycle nitrification deniftrifcation and nitrogen fixation
The 3 different important words for the carbon cycle are nitrification, denitrification, and nitrogen fixation.
Nitrogen fixation is the process of transforming nitrogen from the atmosphere into ammonia, which is a molecule that plants can utilize. Nitrogen fixation is done by particular bacteria and cyanobacteria, which transform nitrogen into a form that other organisms can utilize.
Nitrification is a process that involves the transformation of ammonia into nitrite and then nitrate. Nitrate is an essential component of plants, and it aids in their growth.
Denitrification is a process that transforms nitrates into nitrogen gas, which is released into the environment. Denitrification is done by anaerobic bacteria, and it occurs in places where oxygen is limited.
Therefore, these are the 3 different important words for the carbon cycle.
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what does surface tension mean?
Surface tension, property of a liquid surface displayed by its acting as if it were a stretched elastic membrane. This phenomenon can be observed in the nearly spherical shape of small drops of liquids and of soap bubbles. Because of this property, certain insects can stand on the surface of water.
Answer:
Surface tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible. Surface tension is what allows objects with a higher density than water such as razor blades and insects (e.g. water striders) to float on a water surface without becoming even partly submerged.
In 3-5 sentences, explain the difference in good and bad atmospheric ozone and how each is distributed in Earth's atmosphere.
Good ozone is found in the stratosphere, approximately 10 to 50 kilometers above the Earth's surface. Bad ozone, also known as ground-level ozone, is found in the troposphere.
What is the difference in good and bad atmospheric ozone and how each is distributed in Earth's atmosphere?Good ozone is found in the stratosphere, approximately 10 to 50 kilometers above the Earth's surface. This is often referred to as the "ozone layer." Good ozone forms when UV radiation breaks apart oxygen molecules (O2) into individual oxygen atoms. These individual atoms can then react with other oxygen molecules to form ozone. The ozone layer helps to protect life on Earth by absorbing harmful UV radiation from the sun.
Bad ozone, also known as ground-level ozone, is found in the troposphere, which is the lower part of the atmosphere that extends from the Earth's surface up to about 10 kilometers. Ground-level ozone is not naturally occurring; instead, it is formed through the chemical reaction of nitrogen oxides (NOx) and volatile organic compounds (VOCs) in the presence of sunlight.
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what is a chemical equation list any four ways in which a chemical equation can be more informative
the any four ways in which a chemical equipment can be more informative are 1 colour change2 change of temperature 3 evolution of gas 4 production of n odar
Explanation:
if the answer is correct mark me as brain list
2
Which represents a mixture?
*
Ос.
Explanation:
A mixture is an impure substances with the following properties:
Composition is indefinite i.e they consist of two or more elements and or compounds in any proportion by massConstituents retain their identities i.e physical properties are retainedConstituents reacts differently to changed conditions. They can easily be separated into constituents by physical methodsExamples are air, sea - water, muddy water, palm -wine, petroleum, alloys etc.
Using this description it should be easy to identify a mixture.
what is the formula weight of sodium carbonate?express your answer to four significant figures and include the appropriate units.
The formula weight of sodium carbonate is 105.99 g/mol.
The formula weight of sodium carbonateSodium carbonate is a white, hygroscopic powder. Its formula is Na2CO3, which means that it has two sodium atoms, one carbon atom, and three oxygen atoms. To calculate the formula weight of sodium carbonate, you need to add the atomic weights of each element in the formula. Sodium has an atomic weight of 22.99 g/mol, carbon has an atomic weight of 12.01 g/mol, and oxygen has an atomic weight of 16.00 g/mol. Therefore, the formula weight of sodium carbonate can be calculated as follows : Formula weight of sodium carbonate = 2 × atomic weight of sodium + atomic weight of carbon + 3 × atomic weight of oxygen= 2 × 22.99 g/mol + 12.01 g/mol + 3 × 16.00 g/mol= 105.99 g/mol.This means that if you have one mole of sodium carbonate, it will have a mass of 105.99 grams. The formula weight is an important concept in chemistry because it allows you to convert between the mass of a substance and the number of moles of that substance. To convert the mass of a substance to moles, you divide the mass by the formula weight. To convert the number of moles to mass, you multiply the number of moles by the formula weight.
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a constant current of 0.426 a is passed through an electrolytic cell containing molten mncl4 for 21.7 h. what mass of mn(s) is produced? the molar mass of manganese is 54.94 g/mol.
a constant current of 0.426 a is passed through an electrolytic cell containing molten mncl4 for 21.7 h. mass of mn(s) is produced is 4.736789.
Molar man of mn = 54-94 gm/mo) = sc, 0.086215 mol mn = 0.086 215 X 54.94 gm 4.7367 gm. Therefore mass of Mn produced = 4.736789.
The mass in g with one mole of a compound is its molar mass. A mole is the measurement of the amount of entities, including such atoms, molecule, and ions, that really are contained in a material. Any material has 6.022 x 1023 molecules in a mole. An electrolytic cell is a factors such as technological that causes a chemical change that would not typically take effect using an independent device of electrical energy. A power is applied between both the cell's electrodes, a cathode and an anode that are immersed in an electrolyte solution, as that of the external energy source.
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Relative humidity changes with Group of answer choices addition of water vapor to the air. decreases in temperature. increases in temperature. removal of water vapor from the air. all of the above
Relative humidity changes with addition of water vapor to the air, decreases in temperature, increases in temperature and the removal of water vapor from the air and the correct option is option 5.
Relative humidity (RH) is a measure of how much water vapor is in a water-air mixture compared to the maximum amount possible. It is a ratio of the humidity ratio of a particular water-air mixture compared to the saturation humidity ratio at a given temperature.
A reading of 100 percent relative humidity means that the air is totally saturated with water vapor and cannot hold any more, creating the possibility of rain.
Thus, the ideal selection is option 5.
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how the direction of the arrow in the bond dipole symbol relates to the electron density and the partial charges
The direction of the arrow in a bond dipole symbol indicates the distribution of electron density and the partial charges in a polar covalent bond. In a polar covalent bond, the electrons are shared unequally between two atoms due to the difference in electronegativity.
The arrow points from the less electronegative atom (partial positive charge) to the more electronegative atom (partial negative charge). The head of the arrow represents the higher electron density area, while the tail shows the lower electron density area.
The difference in electronegativity creates an electron density gradient, causing the electrons to be more attracted to the more electronegative atom. As a result, a partial negative charge (δ-) forms on the electronegative atom, and a partial positive charge (δ+) forms on the less electronegative atom. This dipole moment contributes to the overall polarity of the molecule.
The bond dipole arrow is a visual representation of this electron density shift and the associated partial charges, helping students to understand the polarity of a covalent bond and its impact on the molecule's properties.
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Which of these is NOT a science and engineering practice?
asking questions
opinion and factless ideas
analyzing and interpreting data
obtaining, evaluating, and communicating information
Opinion and and factless ideas are not science and engineering practice as these are based on observations.
What are observations?
Observations are defined as a set of statements or facts which are recorded while conducting an experiment.Observations are made through sensing changes in the variables of the experiment.
It is specifically defined as an act of knowing or recording the changes in the variables of the experiment.Recording observations holds importance as recording observations avoid the experiment to be repeated over and over again.
It is important to note down observations so that the testing of hypothesis is made easier.There are four types of observations .Observations need to be descriptive and must be written in complete sentences and should include all the numerical data of the experiment.
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Please help me with this ! All help is appreciated :)
Answer:
See below!
Explanation:
Chlorine is very electronegative, meaning that it will pull electrons, or negativity toward itself. When it pulls the negativity towards itself, the chlorine becomes partially negative and the carbon becomes partially positive. Because of this, the compound is polar.
Define energy and power then describe the relationship that exists between them.
Try for at least 3 complete sentences
Sentence starters:
Energy is.... Power is.... They are related because.....
Answer: With power and energy, power is units of energy divided by time. The same difference as distance and velocity. The units of power are watts, the units of energy are joules.
Explanation:
abcdefghijklmnopqrstuvwxyzExplanation:abcdefghijklmnopqrstuvwxyz
If you have 24.8 moles of O2 at STP, how many liters of O2do you have?
Answer:
555.52 Liters of O2
Explanation:
if 1 mol is 22.4 liters, then we would multiply the # of moles (24.8) with 22.4 to get our answer.
The following is what type of reaction: 2Al(s) + 3CuCl2(aq) ---> 2AlCl3(aq) + 3Cu(s)
Answer:
single replacment
Explanation:
As more potassium sulfate dissolves in the water, the mixture becomes..
PLEASE HELP ME
Answer:
it will become heterogenous and as well asit will dissociate into ions
also it will form base and evolve h2gas
Answer:
the mixture becomes more concentrated
Explanation:
this is due to more solute ions of potassium sulphate than solvent ions of water
The observation that different neurons function as dot, edge, and movement detectors suggests that
Select one:
a. different neurons have different receptive fields.
b. lateral inhibition is essential in visual processing.
c. neurons have similar preferences.
d. rods and cones are more complex than initially understood
The observation that different neurons function as dot, edge, and movement detectors suggests that different neurons have different receptive fields.
This means that each neuron is sensitive to different types of input, and is specialized to respond to certain types of stimuli. This allows the visual system to process complex visual information, such as the direction of movement or the boundaries of objects. Lateral inhibition is also essential in visual processing, as it helps to sharpen edges and enhance contrast. Neurons also have similar preferences in terms of the types of input they respond to, though they may respond differently depending on the context. Finally, rods and cones are more complex than initially understood, and can respond to a wide range of stimuli, including light and color.
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the number of molecules in the 30 ml can also be calculated directly. at standard temperature and pressure (stp) the volume occupied by one mole of gas is 22.4 liters. find the number of liters occupied by one mole of gas at room temperature. hence, estimate the number of molecules contained in the 30 ml of air. does your value agree with that obtained from the slope?
The number of liters occupied by one mole of gas at room temperature will be 25.45 L
Yes, the number of molecules contained in the 30 ml of air will be 7.59 × 10²³.
At standard temperature and pressure the values are as;
Volume of gas (V1) = 22.4 L
Pressure = 1.00 atm
Temperature (T1) = 273.15 K
Final temperature (T2) = 25 °C or 298.15 K
number of moles (n) = 1
Pressure = constant
To find out the final volume (V2) we will use Charles's law
V1 / T1 = V2 / T2
Rearrange it for V2
V2 = (V1 × T2) / T1
Put the values in the above equation
V2 = (22.4 L × 298.15 K) / 273.15 K
V2 = 6678.56 L / 273.15
V2 = 24.45 L
Calculate the no. of molecules by using the ideal gas law
PV = nRT
n = PV / RT
Value of P in chart = 104.2 × 10³
n = (104.2 × 10³) × (30 × 10⁻³) / 8.314 × 298
n = 1.262 mol
Number of molecules = 1.262 (6.02 × 10²³)
Number of molecules = 7.59 × 10²³
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