Test: Kinetic theory-Pressure and Energy of gas (28 Sep) - JEE MCQ

A gas is filled in the cylinder shown in the figure. The two pistons are joined by a string. If the gas is heated, the pistons will

An ideal monatomic gas is confined in a cylinder by a spring-loaded piston of cross-section . Initially the gas is at and occupies a volume of and the spring is in a relaxed state. The gas is heated by a small heater coil The force constant of the spring is and the atmospheric pressure is . The cylinder and piston are thermally insulated The piston and the spring are massless and there is no friction between the piston and cylinder. There is no heat loss through heater coil wire leads and thermal capacity of the heater coil is negligible. With all the above assumptions, if the gas is heated by the heater until the piston moves out slowly by , then the final temperature is

Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes is plotted as shown in Fig. Choose the correct alternative.

Molar specific heat at constant pressure is related to internal energy and absolute temperature as is equal to

Forty calories of heat is needed to raise the temperature of 1 mol of an ideal monatomic gas from 20^∘C to 30^∘C at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume (R = 2calmol⁻¹ K⁻¹) is