Engineering
Chemistry
First Law and Various Process
Question

Pressure temperature (P–T) graph of n moles of an ideal gas is shown in figure.

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Solution

The given P-T graph shows two straight lines with different slopes. For an ideal gas, the ideal gas law is PV=nRT, which can be rearranged to P=(nRV)T. This shows pressure is proportional to temperature at constant volume, and the slope of the P-T line is nRV. A steeper slope indicates a smaller volume. Therefore, the process with the steeper slope (from A to B) is at constant volume V1, and the process with the gentler slope (from B to C) is at a larger constant volume V2.

Final Answer: The correct corresponding V-T graph is the second option, which shows a constant volume V1 from A to B (vertical line) and a constant, larger volume V2 from B to C (another vertical line at a higher volume).