Draw the P-T and V-T diagrams of an isochoric process of n moles of an ideal gas from pressure P_(0), volume V_(0) to pressure 4P_(0),indicating the pressures, and temperatures, of the gas, in the initial and the final stage.

Draw the P-T and V-T diagrams of an isochoric process of n moles of an

1.	Draw the P-T and V-T diagrams of an isochoric process of n moles of an ideal gas from pressure P_(0), volume V_(0) to pressure 4P_(0),indicating the pressures, and temperatures, of the gas, in the initial and the final stage.
Answer» SOLUTION :Fom the equation of state for an ideal gas `PV=nRT` (a) `P=(nRT)/V i.e., P prop T (:. V= "constant")` At `P=P_(0) and V=V_(0), T=(P_(0)V_(0))/(nR) and P=4P_(0), V=V_(0), T=(4P_(0)V_(0))/(nR)` The graph is a STRAIGHT line (passing through the origin, when produced) shown in figure. (b) Since, temperature increase from `(P_(0)V_(0))/(nR) "to" (4P_(0)V_(0))/(nR)`, VOLUME REMAINING constant, so, the graph of V-T will be as shown in figure.