Thermodynamics ...

Two spheres $$A$$ and $$B$$ with masses in the ratio $$2 : 3$$ and specific heat $$2 : 3$$ fall freely rest. If the rest in their temperatures on reaching the ground in the ratio $$1 : 2$$ the ratio of their heights of fall is:-

An ideal heat engine working between temperatures $$T_1$$ and $$T_2$$ has an efficiency $$\eta $$ . The new efficiency if the temperatures of both the source and sink are doubled, will be 

0.5 mole of diatomic gas at $$ 27^0C$$ is heated  at constant pressure so that its volume is trebled. If $$ R=8.3 \, J\, mole^{-1}k^{-1}$$ then work done is 

An ideal gas initially at pressure $$p_0$$ undergoes a free expansion (expansion against vaccum under adiabatic conditions) until its volume is $$3$$ times its initial volume. The gas is next adiabatically compressed back to its original volume. The pressure after compression is $${s^{\dfrac{2}{3}}{P_0}}$$. The pressure of the gas after the free expression is :

An ideal gas $$A$$ and a real gas $$B$$ have their volumes increased from $$V$$ to $$2V$$ under isothermal conditions.The increase in internal energy

If the door of a refrigerator is kept open, the room in which the refrigerator is kept 

The molar heat capacity of a certain substance varies with temperature according to the given equation $$C = 27.2 + (4 \times 10^{-3})T$$. The heat necessary to change the temperature of $$2 \ mol$$ of the substance from $$300 \ K$$ to $$700 \ K$$ is:

When a diatomic gas expands at constant pressure, the percentage of heat supplied that increases temperature of the gas and in doing external work in expansion at constant pressure is:

The
molar heat capacity in a process of a diatomic gas if it does a work of $${Q
\over 4}$$ when a heat of $$Q$$ is supplied to it is

A 1 h.p. electric motor operates a pump continuously. The work performed by the motor in one day is