(a)
The specific heat of air at constant volume.
(a)
Answer to Problem 43P
The specific heat of air at constant volume is
Explanation of Solution
Given Info: Temperature of air is
Formula for calculating the gas constant is,
Here,
Substitute
The specific heat at constant volume in
Substitute
Thus, the specific heat at constant volume is
Conclusion:
Therefore, the specific heat at constant volume is
(b)
The mass of the air in the cylinder.
(b)
Answer to Problem 43P
The mass of the air in the cylinder is
Explanation of Solution
Given Info Temperature of air is
According to the ideal gas equation,
Here,
Rearrange the above equation for
Substitute
The number of moles of a gas is,
Here,
Substitute
Thus, the mass of the air is
Conclusion:
Therefore, the mass of the air will be
(c)
The energy input required to raise the temperature to
(c)
Answer to Problem 43P
The energy input required to raise the temperature to
Explanation of Solution
Given Info: Temperature of air is
As the piston is held fixed, therefore, the process will be of constant volume.
The energy input for the given condition is given as,
Here,
Substitute
Thus, the energy input required is
Conclusion:
Therefore, the energy input required will be
(d)
The energy input required to raise the temperature to
(d)
Answer to Problem 43P
The energy input required to raise the temperature to
Explanation of Solution
Given Info: Temperature of air is
As the piston is free to move, therefore, the process will be of constant pressure.
The energy input for the given condition is given as,
Here,
The expression for gas constant for any ideal gas can be given as,
Substitute
Substitute
Thus, the energy input required is
Conclusion:
Therefore, the energy input required will be
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Chapter 17 Solutions
Principles of Physics: A Calculus-Based Text
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