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Problem 1: Pressure control system

Consider an experimental structure required to always have constant pressure. For this purpose, a collapsible

compartment has been installed that expands and contracts to adjust the volume of air inside the structure for

maintaining constant air pressure of 1 atm.

Given the total volume of air inside the structure was 100,000 m³ when the compartment was fully collapsed, solve

the following:

A. If a constant pressure is to be maintained while the temperature varies from 0°F to 150°F, find the volume of

air that the compartment holds when it expands to the maximum.

B. For the temperature transition mentioned above, find the change in internal energy undergone by the air in

the structure.

C. Also, find the work done by the compartment while it expands.

Assume air to be an ideal gas.

Fig: 1