Two identical blocks of ice move in opposite directions with equal speed and collide with each other. What will be the minimum speed required to make both the blocks melt completely, if the initial temperatures of the blocks were $$-$$8$$^\circ$$C each? (Specific heat of ice is 2100 Jkg^$$-$$1K^$$-$$1 and latent heat of fusion of ice is 3.36 $$ \times $$ 10⁵ Jkg^$$-$$1)

The water equivalent of a calorimeter is 10 g and it contains 50 g of water at 15$$^\circ$$C. Some amount of ice, initially at $$-$$ 10$$^\circ$$C is dropped in it and half of the ice melts till equilibrium is reached. What was the initial amount of ice that was dropped (when specific heat of ice = 0.5 cal gm^$$-$$1 $$^\circ$$C^$$-$$1, specific heat of water = 10 cal gm^$$-$$1 $$^\circ$$C^$$-$$1 and latent heat of melting of ice = 80 cal gm^$$-$$1) ?

One mole of a monoatomic ideal gas undergoes a quasistatic process, which is depicted by a straight line joining points $$({V_0},{T_0})$$ and $$({2V_0},{3T_0})$$ in a V-T diagram. What is the value of the heat capacity of the gas at the point $$({V_0},{T_0})$$?

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?