Work & PV Diagrams Video Lessons

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Problem: 0.10 mol of a monatomic gas follows a process shown in the figure.1. How much energy is transferred to or from the gas during process 2 to 3?2. What is the total change in thermal energy of the gas?

FREE Expert Solution

The ideal gas equation for real gases:

PV=nRT, where P is the gas pressure, V is the volume of the gas, n is the number of moles of the gas, R is the gas constant, and T is the absolute gas temperature.

Change in the gas internal energy:

Eth=32nRT

Work done by the gas:

Wgas=PV, where ΔV= V2 - V1.

The temperature of the monoatomic gas at the different points can be found from the ideal gas equation:

At Point 1:

T1 = P1V1/nR

From the graph, we substitute as follows:

T1 = (4)(101.3 × 103)(800 × 10-6)/(0.1)(8.31) = 390.1 K

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Problem Details

0.10 mol of a monatomic gas follows a process shown in the figure.

1. How much energy is transferred to or from the gas during process 2 to 3?

2. What is the total change in thermal energy of the gas?

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