Question

V. PV diagrams Ideal gas processes are often represented graphically. For instance, a PV diagram is a graph of pressure versus volume for a given sample of gas. A single point on the graph represents simultancously measured values of pressure and volume These values define a state of the gas A. Sketch the process described in section III on the PV diagram provided to the right Label the initial and final states of the gas. This type of process is called isobaric. While the cylinder remains in the boiling water, the piston is now locked in place at the final volume A burner is placed under the gas so that the temperature of the gas increases to 200°C. Sketch this second process in the PV diagram. This process is called isochoric. The same sample of ideal gas is used for a new experiment. The pressure and volume of the gas are measured at several times. The values of P and V are recorded on the diagram at ri B. Rank the temperatures of the gas in states A, B, C, and D from largest to smallest. Explain. 1. 2. Is it possible for the gas to be in a state in which it has the same volume as in state B and the same temperature as in state A? If so, mark the location of the state on the PV diagram. Ifnot, explain why not.

Answer 1

Since we know that PV = nRT = > PV alpha T (T is directly proportion to area under PV) Hence B > A = D > C Area of P = Area at A At P it have same volume as B and same temperature at A