The ideal gas equation for real gases:

$\overline{){\mathbf{P}}{\mathbf{V}}{\mathbf{=}}{\mathbf{n}}{\mathbf{R}}{\mathbf{T}}}$, 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:

$\overline{){\mathbf{\u2206}}{{\mathbf{E}}}_{\mathbf{t}\mathbf{h}}{\mathbf{=}}\frac{\mathbf{3}}{\mathbf{2}}{\mathbf{n}}{\mathbf{R}}{\mathbf{\u2206}}{\mathbf{T}}}$

Work done by the gas:

$\overline{){{\mathbf{W}}}_{\mathbf{g}\mathbf{a}\mathbf{s}}{\mathbf{=}}{\mathbf{P}}{\mathbf{\u2206}}{\mathbf{V}}}$, where ΔV= V_{2} - V_{1}.

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

__At Point 1:__

T_{1} = P_{1}V_{1}/nR

From the graph, we substitute as follows:

T_{1} = (4)(101.3 × 10^{3})(800 × 10^{-6})/(0.1)(8.31) = 390.1 K

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?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Work & PV Diagrams concept. You can view video lessons to learn Work & PV Diagrams. Or if you need more Work & PV Diagrams practice, you can also practice Work & PV Diagrams practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Eld's class at WSU.