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A 10-ft^3 tank contains oxygen initially at 14.7 psia and 80 degrees F. A paddle wheel within the tank is rotated until the pressure inside rises to 20 psia. During the process 20 Btu of heat is lost to the surroundings. Determine the paddle-wheel work done. Neglect the energy stored in the paddle wheel.

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Solution Summary

This solution is provided in 373 words in an attached .doc file. It uses step-by-step equations, including the ideal gas law and polytropic exponent, to find work done in the system.

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Problem.

A 10-ft^3 tank contains oxygen initially at 14.7 psia and 80 degrees F. A paddle wheel within the tank is rotated until the pressure inside rises to 20 psia. During the process 20 Btu of heat is lost to the surroundings. Determine the paddle-wheel work done. Neglect the energy stored in the paddle wheel.

Solution:

I will show you the hints needed for solving such a problem.

• The gas is Oxygen, it is diatomic, that means its adiabatic exponent is
( 1)
• The gas is ideal, that means it obeys the ideal gases law:
( 2)
where M = mass, ...

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