Some steam at $100^o \,\,C$ is passed into $1.1 \,\,kg$ of water contained in a calorimeter of water equivalent $0.02\,\, kg$ at $15^o C$ so that the temperature of the calorimeter and its contents rises to $80^o \,\,C$. What is the mass of steam condensing. (in $kg$)

The coefficient of apparent expansion of mercury in a glass vessel is  $153 × 10^{-6}{°C^{-1}}$ and in a steel vessel is $144 × 10^{-6}{°C^{-1}}$. If $\alpha$ for steel is $12 × 10^{-6}{°C^{-1}}$, then that of glass is

$200\, g$ of a solid ball at $20\,^oC$ is dropped in an equal amount of water at $80\,^oC$. The resulting temperature is $60\,^oC$. This means that specific heat of solid is

$200\, g$ of a solid ball at $20\,^oC$ is dropped in an equal amount of water at $80\,^oC$ . The resulting temperature is $60\,^oC$ . This means that specific heat of solid is

Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are  $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is