2.-When water boils at 2 atm, the heat of vaporization is 2.2 106 J/kg, and the boiling point is 120ºC. At that pressure, 1 kg of steam occupies a volume of 0.824 m3, while 1 kg of water occupies 10-3 m3.
a) Find the work done when 1 kg of steam is formed at that temperature.
b) Calculate the increase in internal energy.
Answers
a) Find the work done when 1 kg of steam is formed at that temperature.
p = pressure = 2 atm =2 101325.2738 = 202651 PaV₁ = volume of 1kg of water = 10⁻³ m³V₂ = volume of 1 kg of steam = 0.824 m³Lf = heat of vaporization of water = 2.2 10⁶ J/kgm = mass of water = 1 kg\(\bf{W=p(V_{2}-V_{1})=166781 \ J }\)
\(\boxed{\bf{W=166781 \ J}}\)
b) Calculate the increase in internal energy.
\(\Delta U=Q-W\\Q=mL_{f}=2,2\cdot10^{6} \ J\\\Delta U=2,033\cdot10^{6} \ J\\\boxed{\Delta U=2,033\cdot10^{6} \ J}\)
Related Questions
Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Answers
Step-by-step explanation:
again option D x = 10, y= 3
is the correct answer of this question.
plz mark my answer as brainlist.if you find it useful.
hope this will be helpful to you.
Answer:
x = 10
y = 7
Step-by-step explanation:
4x-2 = x+28
4x-x = 28+2
3x = 30
x = 30÷3
x = 10
4y-7 = y+14
4y-y = 14+7
3y = 21
y = 21÷3
y = 7
Jackie is 8 years younger than her neighbor, Paula. The sum of their ages is 30. How old are Jackie and Paula?
Answers
Answer:
Jackie: 11
Paula: 19
Step-by-step explanation:
11+19 = 30
Determine the value of x + 7p if x = -1 and p = 8
Answers
Answer:
\(x + 7p \\ \\( - 1) + 7 \times 8 \\ \\ ( - 1) + 56 \\ \\ - 55\)
Hello there!
-1+7*8
-1+56
55
Hope this helps you!
~Just a joyful teen
\(SilentNature\)
What is the slope of the line that passes through the points (9,5) and (21,1)? Write your answer in simplest form.
Answers
Answer:The slope of the line would be 1/3 because if you put those two coordinates in the table then you can see the the difference between 5 and 1 is 4 and the difference between 9 and 21 is 12 then do 4 divided by 12 and you get 1/3 for your slope.
Step-by-step explanation: I know math just trust me i am a sraight A student.
. You are a Geographic Information System (GIS)
specialist preparing a zoning map for a county
agency. The area that you are mapping is a square
measuring 4 miles on each side, and it includes all
or part of 998 separate lots ranging from
to 987 acres. The map scale is 1 inch 500 feet
About how long is each side of the map that
you will print?
A 2 inches
B. 4 inches
10 inches
24 inches
B. 42 inches
Answers
Answer:
l will print A2 inches cause each side of the scale of the map is 1inch
find the local maximum and minimum values and saddle point(s) of the function. you are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (enter your answers as comma-separated lists. if an answer does not exist, enter dne.) f(x, y)
Answers
Answer:
to get your answer you have to. Then after that, and finally
the total number of sides in 2 regular polygons is 13, and tge titak number of diagonals is 25. how many sides is each polygon
Answers
One polygon has 6 sides and the other has 7 sides.
Polygons are closed 2D shapes made up of straight lines. Regular polygons have sides of equal length and angles of equal measure. In this problem, we are given information about two regular polygons.
We are told that the total number of sides in both polygons is 13. Let's call the number of sides in one polygon "n" and the number of sides in the other polygon "m". Then, we know that:
n + m = 13
Next, we are given the total number of diagonals in both polygons, which we can calculate using the formula:
d = (n(n-3) + m(m-3))/2
where "d" is the total number of diagonals. We are told that d = 25. Substituting this value and the equation for n + m into the diagonal formula, we get:
25 = (n(n-3) + m(m-3))/2
25 = (n² - 3n + m² - 3m)/2
50 = n² - 3n + m² - 3m
We can use the equation n + m = 13 to solve for one variable in terms of the other. For example, we can solve for "m" by subtracting "n" from both sides:
m = 13 - n
Substituting this into the previous equation, we get:
50 = n² - 3n + (13-n)² - 3(13-n)
50 = n² - 3n + 169 - 26n + n² - 36 + 3n
Simplifying this equation, we get:
2n² - 26n + 45 = 0
We can use the quadratic formula to solve for "n":
n = (26 ± √376)/4
n ≈ 5.61 or n ≈ 8.39
Since we are dealing with whole numbers of sides, "n" must be either 6 or 8. Plugging each value into the equation n + m = 13, we find that the other polygon must have the opposite value.
To know more about polygon here
https://brainly.com/question/24464711
#SPJ4
Use the given conditions to find the exact values of
sin(2u),
cos(2u),
and
tan(2u)
using the double-angle formulas.
sin(u) = −3/5, 3????/2 < u < 2????
Use the given conditions to find the exact values of
sin(2u),
cos(2u),
and
tan(2u)
using the double-angle formulas.
tan(u) = 5/3, 0 < u < ????/2
Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.
75°
Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.
????/8
Answers
The expressions are solved below :
sinu = -3/5 3π/2 < u < 2π is [ 4th quadrant ]
Now we know that
By using trigonometric identities,
When there are trigonometric functions present in an expression or equation, trigonometric Identities come in handy. Every value of a variable appearing on both sides of an equation is valid in terms of trigonometric identities. These trigonometric functions of one or more angles, such sine, cosine, and tangent, are involved in these geometric identities.
sin²u + cos²u = 1
cos²u= 1-sin²u
cos²u = 1 -(-3/5)²
cos²u= 1 - 9/25
cosu = +4/5
:. u is in 4th quadrant
Now
1. sin2u = 2 sinu cosu
= 2 (-3/5)(4/5) = -24/25
2. cos2u = 2cos²u- 1
= 2(4/5)²- 1
= 7/25
3. tan2u = sin2u /cos2u
= -24/7
The exact values of the sine, cosine, and tangent of the angle are found.
To learn more about trigonometric expressions click here:
brainly.com/question/24377281
#SPJ4
QS bisects PQR. If PQS = 5x and RQS = 2x + 6, then what is PQR?
m PQR is____
HELP PLEASE
Answers
Answer:
20°
Step-by-step explanation:
i just did it. got it correct
The sales tax rate if 6.25%. The total cost of the items that were purchased at Walmart was $35.02. What is the total, including tax? (nearest cent)
Answers
Given the sales tax rate of 6.25% and the total cost of the items purchased at Walmart as $35.02, we can calculate the total cost including tax. To do this, we first need to find the tax amount on the purchase.
Tax amount = (Tax rate * Total cost of items) / 100
Tax amount = (6.25 * $35.02) / 100
Tax amount = $2.18875
Now, round the tax amount to the nearest cent:
Tax Amount ≈ $2.19
Next, add the tax amount to the total cost of the items to find the total cost including tax:
Total cost including tax = Total cost of items + Tax amount
Total cost including tax = $35.02 + $2.19
Total cost including tax ≈ $37.21
So, the total cost of the items purchased at Walmart, including the 6.25% sales tax, is approximately $37.21.
Learn more about tax here:
https://brainly.com/question/31851456
#SPJ11
Solve the following differential equation using Runge-Katta method 4th order y=Y-T²2+1 with the initial condition Y(0) = 0.5 Use a step size h = 0.5) in the value of Y for 0 ≤t≤2 Runge-Kutta Method Order 4 Formula 1 |y(x + h) = y(x) + y(x + h) = y(x)+ (F₁+2F₂+2F3+ F4) (F₁ 6 where F₁ = hf(x, y) h Fi F2= hf + 2 h F2 F₁ = hf (2 + 12/₁0 - 12/²) Fs F₁ = hf(a+hy+F3)
Answers
Using the Runge-Kutta method of order 4, the value of Y for 0 ≤ t ≤ 2 with a step size h = 0.5 can be calculated as follows:
Y(0) = 0.5 (initial condition)
h = 0.5 (step size)
t = 0 to 2 (integration interval)
To solve the given differential equation using the Runge-Kutta method of order 4, we need to calculate the value of Y at different time steps within the integration interval.
First, we calculate the intermediate values F₁, F₂, F₃, and F₄ using the provided formulas:
F₁ = h * (Y - t²/2 + 1)
F₂ = h * (Y + F₁/2 - (t + h/2)²/2 + 1)
F₃ = h * (Y + F₂/2 - (t + h/2)²/2 + 1)
F₄ = h * (Y + F₃ - (t + h)²/2 + 1)
Next, we use these intermediate values to update the value of Y at each time step:
Y(i+1) = Y(i) + (F₁ + 2F₂ + 2F₃ + F₄)/6
By iterating this process for each time step with the given step size, we can calculate the value of Y at different points within the integration interval.
Using the provided initial condition, step size, and the Runge-Kutta method of order 4, the differential equation can be numerically solved to obtain the values of Y for 0 ≤ t ≤ 2. The process involves calculating intermediate values (F₁, F₂, F₃, F₄) and updating the value of Y using the formula Y(i+1) = Y(i) + (F₁ + 2F₂ + 2F₃ + F₄)/6 at each time step.
To know more about Runge-Kutta method visit:
https://brainly.com/question/32687134
#SPJ11
Rochelle bought 12 spiral notebooks for school. Each notebook cost $1.50, including tax. Which
number sentence could you use to find C, the change that Rochelle received when she paid with a
$20 bill?
Answers
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
g
=
p
2
−
m
Step-by-step explanation:
Samantha drives 4.2 miles each workday. How
far will Samantha drive after 18 workdays?
Answers
Answer:
75.6 miles
Step-by-step explanation:
Multiply 4.2 by 18
How many miles are in 2000 yards? I kinda need help fast..
(Person who answers gets 70 points)
Answers
\( \huge{ \rm{Question:}}\)
How many miles are in 2000 yards?
\( \huge{ \rm{Answer:}}\)
1.136 miles
HOPE THIS HELPS^^
Moe is 8 years older than Zach. If twenty years ago Moe was 3 times as old as Zach, what are their present ages.Moe: 32 Zach: 24Please include the steps taken to get the answer.
Answers
Moe's present age = 32
Zach's present age = 24
Explanations:Let Moe's present age be represented by m
Let Zach's present age be represented by z
Moe is 8 years older than Zach now
m = z + 8..........(1)
Twenty years ago, Moe's age would be m - 20
Twenty years ago, Zach's age would be z - 20
Twenty years ago, Moe's age was three times that of Zach
m - 20 = 3(z - 20)
m - 20 = 3z - 60
m = 3z - 60 + 20
m = 3z - 40..........(2)
Let equations (1) and (2) be equal to each other:
z + 8 = 3z - 40
3z - z = 8 + 40
2z = 48
z = 48 / 2
z = 24
Substitute the value of z into equation (1)
m = z + 8
m = 24 + 8
m = 32
Moe's present age = 32
Zach's present age = 24
Select the equivilent expression(4 ^ 3 / 5 to the negative power of two) ^ 5
Answers
A rule that we need to know in order to solve this is:
\((a^b)^c=a^{bc}\)The extended rule would be:
\((\frac{a^b}{c^d})^x=\frac{a^{bx}}{c^{dx}}\)Also, remember another rule:
\(\frac{1}{a^{-x}}=a^x\)Keeping all these rules in mind, we can simplify:
\((\frac{4^3}{5^{-2}})^5=\frac{4^{15}}{5^{-10}}=4^{15}\cdot5^{10}\)THis is the final form.
If f(x) = 3x - 1, and g(x) = 5x + 3, find:
3f(1) + 2g(2)
Answers
Answer:
32
Step-by-step explanation:
=3{3×1-1} + 2{5×2+3}
=3×2 + 2×13
=6+26
=32
Determine whether or not the equation shows a proportional relationship. If it does, identify the unit rate (constant of proportionality).
y =25x, a = 5x + 5, m = 105.25n
Answers
Answer:
y = 25·x shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship
m = 105.25·n shows a proportional relationship
Step-by-step explanation:
An equation that shows a proportional relationship is of the form, y = kx
Where;
k = The constant of proportionality = y/x
Therefore, the equation, y = 25·x shows a proportional relationship
The constant of proportionality = k = y/x = 25
Similarly, the equation m = 105.25·n shows a proportional relationship
The constant of proportionality = k = m/n = 105.25
When the equation shows a proportional relationship, the graph of the equation passes through the origin, therefore, the equation of the form, y = m·x + c, where c = the y-intercept > 0, the equation does not show a proportional relationship
The equation a = 5·x + 5, which is of the form, y = m·x + c, with c = 5 > 0, therefore, does not show a proportional relationship.
Therefore;
y = 25·x shows a proportional relationship
m = 105.25·n shows a proportional relationship
a = 5·x + 5 does not show a proportional relationship.
An equation of a line through (1, 1) which is parallel to the line y = − 4 x 3 has slope:
Answers
Step-by-step explanation:
slope -4
equation of line = (y-y1)=m(x-x1)
eq. = (y-1)= -4(x-1)
y-1=-4x+4
4x+y=5slope of this line is -4x
MARK ME AS BRAINLIST7. determine whether the statements in (a) and (b) are logically equivalent: a. bob is majoring in both math and cs, and ann is majoring in math but ann is not majoring in both math and cs b. it is not the case that bob and ann are majoring in both math and cs, but it is the case that ann is majoring in math and bob is majoring in both math and cs
Answers
After analyzing the logical structure of both statements, we can say that statement (a) and statement (b) are logically equivalent.
Let's analyze the statements to determine their logical equivalence.
Statement (a): Bob is majoring in both math and CS, and Ann is majoring in math, but Ann is not majoring in both math and CS.
Statement (b): It is not the case that Bob and Ann are majoring in both math and CS, but it is the case that Ann is majoring in math and Bob is majoring in both math and CS.
In statement (a), we have Bob majoring in both math and CS, and Ann majoring in math but not majoring in both math and CS. This can be represented as (Bob ∧ Ann ∧ Math ∧ ¬(Math ∧ CS)).
In statement (b), it is not the case that Bob and Ann are majoring in both math and CS, but it is the case that Ann is majoring in math and Bob is majoring in both math and CS. This can be represented as (¬(Bob ∧ Ann ∧ Math ∧ CS) ∧ Ann ∧ Math ∧ Bob ∧ (Math ∧ CS)).
When we simplify both statements, we find that they are equivalent:
Statement (a): (Bob ∧ Ann ∧ Math ∧ ¬(Math ∧ CS))
Statement (b): (¬(Bob ∧ Ann ∧ Math ∧ CS) ∧ Ann ∧ Math ∧ Bob ∧ (Math ∧ CS))
To know more about Equivalent, visit
https://brainly.com/question/2972832
#SPJ11
Dylan walks into a video arcade with a pocketful of quarters. He spends them at a rate of nine every half hour until he runs out. If the amount of quarters Dylan has is graphed over time, which feature of the graph corresponds to Dylan’s initial amount of quarters, before he spends the first one? *
Answers
Answer: The answer is A, y-intercept.
Step-by-step explanation:
If 1503 kg of rice was packed in sacks weighing 3 kg each, how many sacks were packed
Answers
Answer:
501 sacks
Step-by-step explanation:
please mark me as brainlest
95 visitors purchased no costume. 9 visitors purchased exactly one costume. 7 visitors purchased more than one costume. If next week, he is expecting 200 visitors, about how many would you expect to buy exactly one costume? Round your answer to the nearest whole number.
Answers
Based on the given data, we can expect around 16 visitors to buy exactly one costume next week.
Based on the given information, out of the total number of visitors, only 9 purchased exactly one costume. To estimate the number of visitors expected to buy exactly one costume next week, we can assume that the proportion of visitors purchasing exactly one costume remains the same.
We can set up a proportion using the given data: 9 visitors out of 111 (95 + 9 + 7) purchased exactly one costume. We can then solve for x, representing the number of visitors expected to buy exactly one costume out of the total expected visitors (200):
9/111 = x/200
To solve for x, we cross-multiply and divide:
x = (9/111) * 200
Calculating the value of x, we find that approximately 16 visitors would be expected to buy exactly one costume next week (rounded to the nearest whole number).
In the given data, we have information about the number of visitors who purchased costumes. We know that 95 visitors purchased no costume, 9 visitors purchased exactly one costume, and 7 visitors purchased more than one costume. To estimate the number of visitors expected to buy exactly one costume next week out of a total of 200 visitors, we can assume that the proportion of visitors who purchased exactly one costume remains consistent.
We can create a proportion by comparing the number of visitors who purchased exactly one costume to the total number of visitors. By setting up the proportion, we have 9 visitors who bought exactly one costume out of a total of 111 visitors (95 + 9 + 7). To find the unknown value x (the number of visitors expected to buy exactly one costume out of 200 visitors), we cross-multiply and solve for x.
By multiplying 9/111 by 200, we get approximately 16.2. Since we're asked to round the answer to the nearest whole number, we can round 16.2 to 16. Thus, we can expect around 16 visitors to buy exactly one costume next week.
Learn more about proportion here:
brainly.com/question/32847787
#SPJ11
THESE IS DUE TODAY PLEASE IM IN A RUSH
Answers
Answer:
3/8 gal
Step-by-step explanation:
\(5\frac{1}{4} \times \frac{1}{6} = \frac{21}{4} \times \frac{1}{6} = \frac{21}{24} = \frac{3}{8} \)
Rewrite in simplest terms: -2(k+1)-6k
Answers
Answer:
-8k -2
Step-by-step explanation:
You want the simplified form of -2(k+1)-6k.
SimplificationThe process of simplifying an algebraic expression includes ...
removing parenthesescombining like termsParentheses are removed using the distributive property. The factor outside parentheses multiplies each term inside.
-2(k +1) -6k
= (-2)(k) +(-2)(1) -6k = -2k -2 -6k
Terms with the same variable content can be combined by adding their coefficients. (The distributive property is involved here, too.)
= (-2 -6)k -2 = -8k -2
The simplified expression is -8k -2.
Stephanie is saving money to buy a bike that costs $189. She has saved $99 so far. She plans on saving $10 each week. How many weeks will it take for her to save enough money for the bike? Write an equation. Use x to represent the number of weeks
Answers
Answer:
189=99+10x, it will take her 9 weeks to save up enough
Step-by-step explanation:
Answer:
189 = 99 + 10x
Step-by-step explanation:
189 = 99 + 10x
-99 -99
90 = 10x
/10
9 = x
There are 60 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 1/5 of the remaining houses were sold. How many houses are left to be sold?
Answers
Answer:
4
Step-by-step explanation:
Corinne made apple jam and strawberry jam. She made enough apple jam to
fill 1 jars. If she made 3 times as much strawberry jam as apple jam, how
many jars will the strawberry jam fill?
Answers
Answer:
3
Step-by-step explanation:
1 ×3 =3
apple jam times strawberry
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A. 6
B. 15
C. 1
D. 2