Maharashtra Board Solutions for Chapter: Thermal Properties of Matter, Exercise 2: Exercises

A blacksmith fixes iron ring on the rim of the wooden wheel of a bullock cart. The diameter of the wooden rim and the iron ring are $1.5 m$ and $1.47 m$ respectively at room temperature of $27°C$. To what temperature the iron ring should be heated so that it can fit the rim of the wheel $\left(\alpha =1.2\times {10}^{-5} K^{-1}\right)$

In a random temperature scale X, water boils at $200°X$ and freezes at $20°X$. Find the boiling point of a liquid in this scale if it boils at $62°C$.

A gas at 900°C is cooled until both its pressure and volume are halved. Calculate its final temperature.

An aluminium rod and iron rod show $1.5 m$ difference in their lengths when heated at all temperature. What are their lengths at $0°C$ if coefficient of linear expansion for aluminium is $24.5\times {10}^{-6} /°C$ and for iron is $11.9\times {10}^{-6} /°C$.

What is the specific heat capacity of a metal if $50 cal$ of heat is needed to raise $6 kg$ of the metal from $20°C$ to $62°C$?

The rate of flow of heat through a copper rod with temperature difference $30°C$ is $1500 cal/s$. Find the thermal resistance of copper rod.

In electric kettle takes $20$ minutes to heat a certain quantity of water from $0°C$ to boiling point. It requires $90$ minutes to turn all the water at $100°C$ into steam. Find the latent heat of vaporisation. (Specific heat of water=$1 cal/g°C$)

Find the temperature difference between two sides of a steel plate $4 cm$ thick, when heat is transmitted through the plate at the rate of $400 kcal per minute per square metre$ at steady state. Thermal conductivity of steel is $0.026 kcal/msK$.