For an ideal gas with initial pressure and volume p_i and V_i respectively, a reversible isothermal expansion happens, when its volume becomes V₀. Then, it is compressed to its original volume V_i by a reversible adiabatic process. If the final pressure is p_f, then which of the following statement(s) is/are true?

Temperature of an ideal gas, initially at 27$$^\circ$$C, is raised by 6$$^\circ$$C. The rms velocity of the gas molecules will

2 moles of an ideal monoatomic gas is carried from a state (p₀, V₀) to state (2p₀, 2V₀) along a straight line path in a p-V diagram. The amount of heat absorbed by the gas in the process is given by

The perfect gas equation for 4g of hydrogen gas is