For a gas in a thermodynamic process, the relation between internal energy (U), the pressure (P), and the volume (V) is given by: \[ U = 3 + 1.5PV \] The ratio of the specific heat capacities of the gas at constant volume and constant pressure is:
When \( Q \) amount of heat is supplied to a monatomic gas, the work done by the gas is \( W \). When \( Q_1 \) amount of heat is supplied to a diatomic gas, the work done by the gas is \( 2W \). Then \( Q:Q_1 \) is:
A pendulum clock loses 10.8 seconds a day when the temperature is \( 38^\circ C \) and gains 10.8 seconds a day when the temperature is \( 18^\circ C \). The coefficient of linear expansion of the metal of the pendulum clock is:
Steam of mass 60 g at a temperature \( 100^\circ C \) is mixed with water of mass 360 g at a temperature \( 40^\circ C \). The ratio of the masses of steam and water in equilibrium is? (Latent heat of steam = 540 cal/g and specific heat capacity of water = 1 cal/g◦C)
At a pressure \( P \) and temperature \( 127^\circ C \), a vessel contains 21 g of a gas. A small hole is made into the vessel so that the gas leaks out. At a pressure of \( \frac{2P}{3} \) and a temperature of \( t^\circ C \), the mass of the gas leaked out is 5 g. Then \( t \) is:
The Fahrenheit and Kelvin scales of temperature will have the same reading at a temperature of:
The dimensions of four wires if the same material are given below. The increase in length is maximum in the wire of :
