Consider the p - V diagram for 1 mole of an ideal monatomic gas shown in the figure. Which of the following statements is/are true?

The initial pressure and volume of a given mass of an ideal gas with $$\left( {{{{C_p}} \over {{C_V}}} = \gamma } \right)$$, taken in a cylinder fitted with a piston, are p₀ and V₀ respectively. At this stage the gas has the same temperature as that of the surrounding medium which is T₀. It is adiabatically compressed to a volume equal to $${{{V_0}} \over 2}$$. Subsequently the gas is allowed to come to thermal equilibrium with the surroundings. What is the heat released to the surrounding?

Which of the following statement(s) is/are true?

"Internal energy of an ideal gas .............."

If the pressure, temperature and density of an ideal gas are denoted by p, T and $$\rho $$, respectively, the velocity of sound in the gas is