(a)
The heat absorbed by the gas.
(a)
Answer to Problem 18P
The heat absorbed by the gas is
Explanation of Solution
Given that the number of moles of the oxygen gas is
Write the expression for the heat absorbed by the gas.
Here,
Write the expression for the molar specific heat capacity according to Mayer’s law.
Here,
Use equation (II) in (I) and expand the term
Here,
Since oxygen is a diatomic gas, the molar specific heat at constant volume is given by,
Use equation (IV) in (III).
Conclusion:
Substitute
Therefore, the heat absorbed by the gas is
(b)
The change in volume of the gas in the process.
(b)
Answer to Problem 18P
The change in volume of the gas in the process is
Explanation of Solution
Given that the number of moles of the oxygen gas is
Write the ideal gas law equation for a gas with constant pressure.
Here,
Solve equation (VI) for
Conclusion:
Substitute
Therefore, the change in volume of the gas in the process is
(c)
The work done by the gas during the expansion.
(c)
Answer to Problem 18P
The work done by the gas during the expansion is
Explanation of Solution
Given that the pressure is
Write the expression for the work done by a gas during expansion.
Here,
Conclusion:
Substitute
Therefore, the work done by the gas during the expansion is
(d)
The change in internal energy of the gas.
(d)
Answer to Problem 18P
The change in internal energy of the gas is
Explanation of Solution
It is obtained that the heat energy absorbed by the gas is
Write the expression for change in internal energy according to first law of
Here,
Conclusion:
Substitute
Therefore, the change in internal energy of the gas is
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