$10\, gm$ of ice at $0°C$ is mixed with $100 \,gm $ of water at $50°C.$ What is the resultant temperature of mixture........ $^oC$

Heat required to convert $5\ kg$ ice at $0\ ^oC$ into water at $100\ ^oC$ is

A $20 \,g$ bullet whose specific heat is $5000 \,J kg ^{\circ} C$ and moving at $2000 \,m / s$ plunges into a $1.0 \,kg$ block of wax whose specific heat is $3000 \,J kg ^{\circ} C$. Both bullet and wax are at $25^{\circ} C$ and assume that $(i)$ the bullet comes to rest in the wax and $(ii)$ all its kinetic energy goes into heating the wax. Thermal temperature of the wax $\left(\right.$ in $\left.^{\circ} C \right)$ is close to

A $10.0 \,W$ electrical heater is used to heat a container filled with $0.5 \,kg$ of water.It is found that the temperature of the water and the container rose by $3 \,K$ in $15 \,min$. The container is then emptied, dried and filled with $2 \,kg$ of an oil. It is now observed that the same heater raises the temperature of the container-oil system by $2 \,K$ in $20 \,min$. Assuming no other heat losses in any of the processes, the specific heat capacity of the oil is ................ $ \times 10^3 \,JK ^{-1} kg ^{-1}$

The relative humidity on a day, when partial pressure of water vapour is $0.012 \times {10^5}\,Pa$ at $12°C$ is ......... $\%$ (take vapour pressure of water at this temperature as $0.016 \times {10^5}\,Pa$)

The temperature of equal masses of three different liquids ${x}, {y}$ and ${z}$ are $10^{\circ} {C}, 20^{\circ} {C}$ and $30^{\circ} {C}$ respectively. The temperature of mixture when ${x}$ is mixed with ${y}$ is $16^{\circ} {C}$ and that when ${y}$ is mixed with $z$ is $26^{\circ} {C}$. The temperature of mixture when $x$ and $z$ are mixed will be ...... $^{\circ} {C}$