10 g of ice at 0°C is mixed with 100 g of water at 50°C. What is the resultant temperature of the mixture?
(Given: Specific heat of water = 1 cal/gram/°C; Latent heat of ice = 80 cal/gram)

During the adiabatic expansion of 2 moles of a gas, the internal energy was found to have decreased by 100 J. The work done by the gas in this process is

For a diatomic gas, change in internal energy for a unit change in temperature for constant pressure and constant volume is U₁ and U₂, respectively. What is the ratio of U₁ to U₂?

The work of 146 kJ is performed in order to compress one kilo mole of a gas adiabatically, and in this process the temperature of the gas increases by 7⁰C. The gas is
(R = 8.3 J mol^-1 K^-1)

The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

A polyatomic gas (γ = 4/3) at pressure P is compressed to (1/8)^th of its initial volume adiabatically. The pressure will change to

Calculate the temp. in K at which a perfect black body radiates at the rate of 5.67 watt cm^-2, σ = 5.67 ×10^-8 watt m^-2 K ^{- 4}

Find the actual mechanical advantage of a machine, which has a velocity ratio of 3.2 and efficiency 75%.

A heat engine takes in 900 J of heat from a high temperature reservoir and produces 300 J of work in each cycle. What is its efficiency?

If a system changes from state (P₁, V₁) to (P₂, V₂) as shown below, the work done by the system is