(a)
The initial volume of the gas.
(a)
Answer to Problem 55AP
The initial volume of the gas is
Explanation of Solution
Write the expression from ideal
Here,
Write the expression for number of moles.
Here,
Rearrange the equation (I) for
Conclusion:
Substitute
Substitute
Therefore, the initial volume of the gas is
(b)
The final volume of the gas.
(b)
Answer to Problem 55AP
The final volume of the gas is
Explanation of Solution
Write the expression for final volume of the gas.
Here,
Rearrange the equation (IV) for
Conclusion:
Substitute
Therefore, the final volume of the gas is
(c)
The final temperature of the gas.
(c)
Answer to Problem 55AP
The final temperature of the gas is
Explanation of Solution
Write the expression from ideal gas law.
Rearrange the above equation for
Conclusion:
Substitute
Therefore, the final temperature of the gas is
(d)
The work done on the air.
(d)
Answer to Problem 55AP
The work done on the air is
Explanation of Solution
Write the expression for work done on the air.
Rearrange the above equation for
Conclusion:
Substitute
Therefore, the work done on the air is
(e)
The energy transferred by the heat.
(e)
Answer to Problem 55AP
The energy transferred by the heat is
Explanation of Solution
Write the expression for internal energy of the diatomic gas.
Here,
Rearrange the equation (V).
Write the expression for energy transferred by heat.
Here,
Conclusion:
Substitute
Substitute
Therefore, the energy transferred by the heat is
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Chapter 21 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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