(a)
The initial volume of the air in the pump.
(a)
Answer to Problem 32P
The initial volume of the air in the pump is
Explanation of Solution
Write the expression for volume of the cylinder.
Here,
Rewrite the above equation.
Here,
Conclusion:
Substitute
Therefore, the initial volume of the air in the pump is
(b)
The number of moles of air in the pump.
(b)
Answer to Problem 32P
The number of moles of air in the pump is
Explanation of Solution
Write the expression from ideal
Here,
Conclusion:
Substitute
Therefore, the number of moles of air in the pump is
(c)
The absolute pressure of the compressed air.
(c)
Answer to Problem 32P
The absolute pressure of the compressed air is
Explanation of Solution
Write the expression for absolute pressure.
Here,
Conclusion:
Substitute
Therefore, the absolute pressure of the compressed air is
(d)
The volume of the compressed air.
(d)
Answer to Problem 32P
The volume of the compressed air is
Explanation of Solution
Write the expression from an adiabatic compression process.
Here,
Rearrange the above expression for
Conclusion:
Substitute
Therefore, the volume of the compressed air is
(e)
The temperature of the compressed air.
(e)
Answer to Problem 32P
The temperature of the compressed air is
Explanation of Solution
Write the expression from an adiabatic compression process to find final temperature.
Here,
Rewrite the above expression.
Conclusion:
Substitute
Therefore, the temperature of the compressed air is
(f)
The increasing internal energy of the gas.
(f)
Answer to Problem 32P
The increasing internal energy of the gas is
Explanation of Solution
Write the expression for internal energy of the any gas.
Here,
The specific heat capacity at constant volume for diatomic gas is,
Conclusion:
Substitute equation (VII) in equation (VI).
Substitute
Therefore, the increasing internal energy of the gas is
(g)
The volume of the steel in this
(g)
Answer to Problem 32P
The volume of the steel in this
Explanation of Solution
Write the expression for volume of the steel.
Here,
Conclusion:
Substitute
Therefore, the volume of the steel in this
(h)
The mass of the steel.
(h)
Answer to Problem 32P
The mass of the steel is
Explanation of Solution
Write the expression for mass of the steel.
Here,
Conclusion:
Substitute
Therefore, the mass of the steel is
(i)
The increasing temperature of the steel.
(i)
Answer to Problem 32P
The increasing temperature of the steel is
Explanation of Solution
Write the expression for temperature of the steel.
Here,
Rewrite the above expression.
Conclusion:
Substitute
Therefore, the increasing temperature of the steel is
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Chapter 21 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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