(a)
The final temperature.
(a)
Answer to Problem 15P
The final temperature is
Explanation of Solution
The heat lost from the oxygen at higher temperature must be equal to the heat gained by oxygen at lower temperature.
Write the equation for the heat change of the system.
Here,
Write the equation for
Here,
The mass can be expressed as the product of molar mass and the number of moles of the gas.
Write the expression for
Here,
Put the above equation in equation (II).
Write the equation for
Here,
Write the expression for
Here,
Put the above equation in equation (IV).
Put equations (III) and (V) in equation (I).
Write the ideal gas equation.
Here,
Rewrite the above equation for
Use equation (VII) to write the expression for
Here,
Use equation (VII) to write the expression for
Here,
Put equations (VIII) and (IX) in equation (VI) and rewrite it for
Conclusion:
Substitute
Therefore, the final temperature is
(b)
The final pressure.
(b)
Answer to Problem 15P
The final pressure is
Explanation of Solution
Rewrite the ideal gas equation for pressure.
Use the above equation to write the expression for the final pressure of the oxygen.
Here,
For the final state of the system, the value of
Write the equation for
Put equations (VIII) and (IX) in the above equation.
Write the equation for
Put equations (X), (XII) and (XIII) in equation (XI).
Conclusion:
Substitute
Therefore, the final pressure is
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Chapter 20 Solutions
Physics for Scientists and Engineers with Modern Physics Technology Update
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