Thermodynamics ...

Two moles of Helium gas are taken over the cycle ABCDA as shown in the P-T diagram. Assuming the gas to be ideal the work done on the gas in taking it from $$\mathrm{A}$$ to $$\mathrm{B}$$ is :

Which of the following parameters does not characterize the thermodynamic state of matter?

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $$\displaystyle \dfrac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}$$ for the gas is:

An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of the engine is :
(Take $$C_v$$ = 1.5 R, where R is gas constant )

The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is:

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes adiabatic expansion, the average time of collision between molecules increases as $$V^q$$, where V is the volume of the gas. The value of q is :
$$\displaystyle \left( \gamma = \dfrac{C_p}{C_v} \right)$$

Heat cannot by itself flow from a body at lower temperature to a body at higher temperature is a statement of consequence of

Consider a spherical shell of radius $$R$$ at temperature $$T$$. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume  $$u = \displaystyle \dfrac {U} {V} \propto T^4 $$ and pressure  $$P = \displaystyle \dfrac {1} {3} \left( \frac {U} {V} \right) $$ . If the shell now undergoes an adiabatic expansion the relation between T and R is :

The equation of state for a gas is given by $$PV=nRT+\alpha V$$, where n is the number of moles and $$\alpha$$ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $$T_o$$ and $$P_o$$ respectively. The work done by the gas when its temperature doubles isobarically will be 

Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from $$20^oC$$ to $$90^oC$$. Work done by gas close to : (Gas constant R = 8.31 J / mol. K)