First law of thermodynamics

Two gases \(A\) and \(B\) are filled at the same pressure in separate cylinders with movable pistons of radius \(r_A\) and \(r_B\), respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas \(A\) and \(B\) are displaced by 16 cm and 9 cm, respectively. If the change in their internal energy is the same, then the ratio \(r_A/r_B\) is equal to

A thermodynamic system is taken through the cycle \(abcda\). The work done by the gas along the path \(bc\) is :

The volume (V) of a monatomic gas varies with its temperature (T), as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state A to state B, is

A sample of 0.1 g of water at 100°C and normal pressure (\(1.013\times10^5\) Nm\(^{-2}\)) requires 54 cal of heat energy to convert to steam at 100°C. If the volume of the steam produced is 167.1 cc, the change in internal energy of the sample, is

One mole of an ideal monatomic gas undergoes a process described by the equation \(PV^3\) = constant. The heat capacity of the gas during this process is