Question

An ideal gas that is confined in piston-cylinder assembly (i.e., closed system) goes from an initial state of 1 bar at 300 K to a final state of 3 bar at 300 K by the following two-step process.

Process Path.
(Step 1) Heating at constant volume, and then
( Step 2) Cooling by holding the pressure constant.

Required:
a. Determine the initial and final molar mass.
b. Illustrate the two paths on a pressure-volume diagram. Clearly label the initial and final states, process steps and the direction of each step in the diagram.

Answer 1

Step-by-step explanation:

From the given information;

Using ideal gas equation:

pV = nRT

when n = 1 mol

`V = (RT)/(p)`

Initial molar volume =
`(8.314 \ L.bar .k^(-1).mol^(-1) * 300 \ K)/(1 \ bar)`

Initial molar volume = 2494.2 L.mol⁻¹

Final molar volume =
`(8.314 \ L.bar .k^(-1).mol^(-1) * 300 \ K)/(3 \ bar)`

Final molar volume = 831.4 L.mol⁻¹