As depicted in the figure, an ideal gas transitions from state i to state f . The work done by the gas during this process

Step-by-step solution

From the given p-T graph, the process is represented by a straight line passing through the origin. This implies that the pressure p is directly proportional to the temperature T , i.e., p T , or p T = constant . According to the ideal gas equation, pV = nRT , which can be rewritten as p T = nR V . Since p T is constant and nR is constant for a given amount of gas, the volume V must be constant. Thus, the process is isochoric. The work done by a gas is given by W = p , dV . Since the volume is constant, the change