Chapter 12.2, Problem 73E

Ideal Gas Law Many gases can be modeled by the Ideal Gas Law, PV = nRT, which relates the temperature (T, measured in Kelvin (K)), pressure (P, measured in Pascals (Pa)), and volume (V, measured in m³) of a gas. Assume that the quantity of gas in question is n = 1 mole (mol). The gas constant has a value of R = 8.3 m³-Pa/mol-K.

a.    Consider T to be the dependent variable and plot several level curves (called isotherms) of the temperature surface in the region 0 ≤ P ≤ 100,000 and 0 ≤ V ≤ 0.5.

b.    Consider P to be the dependent variable and plot several level curves (called isobars) of the pressure surface in the region 0 ≤ T ≤ 900 and 0 < V ≤ 0.5.

c.    Consider V to be the dependent variable and plot several level curves of the volume surface in the region 0 ≤ T ≤ 900 and 0 < P ≤ 100,000.