1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka94
3 years ago
6

A tank of 0.1m3 volume contains air at 25∘C and 101.33 kPa. The tank is connected to a compressed-air line which supplies air at

the constant conditions of 45∘C and 1500 kPa. A valve in the line is cracked so that air flows slowly into the tank until the pressure equals the line pressure. If the process occurs slowly enough that the temperature in the tank remains at 25∘C, how much heat is lost from the tank? Assume air to be an ideal gas for which CP=(7/2)R and CV=(5/2)R.
Chemistry
1 answer:
Dmitriy789 [7]3 years ago
3 0

Answer:

Amount of Energy = 23,467.9278J

Explanation:

Given

Cv = 5/2R

Cp = 7/2R wjere R = Boltzmann constant = 8.314

The energy balance in the tank is given as

∆U = Q + W

According to the first law of thermodynamics

In the question, it can be observed that the volume of the reactor is unaltered

So, dV = W = 0.

The Internal energy to keep the tank's constant temperature is given as

∆U = Cv((45°C) - (25°C))

∆U = Cv((45 + 273) - (25 + 273))

∆U = Cv(20)

∆U = 5/2 * 8.314 * 20

∆U = 415.7 J/mol

Before calculating the heat loss of the tank, we must first calculate the amount of moles of gas that entered the tank where P1 = 101.33 kPa

The Initial mole is calculated as

(P * V)/(R * T)

Where P = P1 = 101.33kPa = 101330Pa

V = Volume of Tank = 0.1m³

R = 8.314J/molK

T = Initial Temperature = 25 + 273 = 298K

So, n = (101330 * 0.1)/(8.314*298)

n = 4.089891232222

n = 4.089

Then we Calculate the final moles at P2 = 1500kPa = 1500000Pa

V = Volume of Tank = 0.1m³

R = 8.314J/molK

T = Initial Temperature = 25 + 273 = 298K

n = (1500000 * 0.1)/(8.314*298)

n = 60.54314465936812

n = 60.543

So, tue moles that entered the tank is ∆n

∆n = 60.543 - 4.089

∆n = 56.454

Amount of Energy is then calculated as:(∆n)(U)

Q = 415.7 * 56.454

Q = 23,467.9278J

You might be interested in
Is the igneous rock destructive or constructive?
sammy [17]

This certain type of rock is constructive, not only from the fact that it was made up from earthly habits. But also it breaks down very easily, which can help the environment. Therefore a sedimentary rock is constructive.

5 0
3 years ago
Is the process by which certain waste materials, such as plastic, glass, aluminum, and paper, are prepared for reuse.
andriy [413]
the process is called recycling.
3 0
3 years ago
Read 2 more answers
Burning coal releases the following pollutants except
Jobisdone [24]
B stratospheric zone
8 0
3 years ago
What is wetlands made of
Amiraneli [1.4K]
Wet land isnt it obvious 
8 0
3 years ago
Read 2 more answers
Consider an element Z that has two naturally occuring isotopes with the following percent abundances: the isotope with a mass nu
rodikova [14]

Answer:

Z=22.70

Explanation:

It is given that,

An element Z that has two naturally occurring isotopes with the following percent abundances as follows :

The isotope with a mass number 22 is 65.0% abundant; the isotope with a mass number 24 is 35.0% abundant.

The average atomic mass for element Z is given by :

Z=\dfrac{22\times 65+24\times 35}{100}\\\\Z=22.7

So, the average atomic mass for element Z is 22.70.

3 0
3 years ago
Other questions:
  • How are sucrose (table sugar) and the starch in flour chemically related? what makes them different from each other?
    12·1 answer
  • How does adding a non-volatile solute to a pure solvent affect the freezing point of the pure solvent?
    7·1 answer
  • Which group on the periodic table contains only metals?
    5·1 answer
  • Which one of the following is not a compound?
    5·1 answer
  • I need help please and thank you! Also if you found the answer can you explain how you did, like wat did u search for...if it’s
    13·1 answer
  • How many elements are in the periodic table?
    12·2 answers
  • Most of the fresh water that is available for human use cannot be seen 
    9·2 answers
  • The volume of a ball was measured at 500.0 cm?, and its mass was measured to be 404.2 g.
    6·1 answer
  • Two substances (A and B) are placed at each end of a glass tube. The vapors of the substances form a solid that is closer to sub
    6·1 answer
  • A blacksmith is in the process of making iron horse shoes. Each shoe, mass of 255.15g, is heated to a bright red (816c), hammere
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!