R P Goyal and S P Tripathi Solutions for Chapter: Calorimetry, Exercise 1: EXERCISE-11(A)

How will you determine the specific heat capacity of a liquid like olive oil by the method of mixtures.

In an experiment to determine the specific heat capacity of a solid, following observations were made :

Mass of calorimeter $+$ stirrer $=x \mathrm{kg}$
Mass of water$=y \mathrm{kg}$
Initial temperature of water $=t_1{}^{\circ }\mathrm{C}$
Mass of solid $=z \mathrm{kg}$
Temperature of solid $=t_2{}^{\circ }\mathrm{C}$
Temperature of mixture $=t°\mathrm{C}$

Specific heat capacity of calorimeter and water are $c_1$ and $c_2$ respectively. Express the specific heat capacity $c$ of the solid in terms of the above data.

A heater of power $P$ watt raises the temperature of $m \mathrm{kg}$ of a liquid by $\Delta T \mathrm{K}$ in time $t \mathrm{s}.$ Express the specific heat capacity of liquid in terms of above data.

$200 \mathrm{g}$ mass of a certain metal at $83°\mathrm{C}$ is immersed in $300 \mathrm{g}$ of water at $30°\mathrm{C}$. The final temperature is $33°\mathrm{C}.$. Calculate the specific heat capacity of the metal. Assume that the specific heat capacity of water is $4.2 \mathrm{J}{ \mathrm{g}}^{-1}{ \mathrm{K}}^{-1}.$

$45 \mathrm{g}$ of water at $50°\mathrm{C}$ in a beaker is cooled when $50 \mathrm{g}$ of copper at $18°\mathrm{C}$ is added to it. The contents are stirred till a final constant temperature is reached. Calculate this final temperature.The specific heat capacity of copper is $0.39 \mathrm{J} {\mathrm{g}}^{-1}{\mathrm{K}}^{-1}$ and that of water is $4.2 \mathrm{J} {\mathrm{g}}^{-1}{\mathrm{K}}^{-1}$ State the assumption used.

$200 \mathrm{g}$ of hot water at $80°\mathrm{C}$ is added to $300 \mathrm{g}$ of cold water at $10°\mathrm{C}$. Neglecting the heat taken by the container, calculate the final temperature of the mixture of water. Specific heat capacity of water is $4200 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$.

The temperature of $600 \mathrm{g}$ of cold water rises by $15° \mathrm{C}$ when $300 \mathrm{g}$ of hot water at $50° \mathrm{C}$ is added to it. What was the initial temperature of the cold water?

$1.0 \mathrm{kg}$ of water is container in a $1.25 \mathrm{kW}$ kettle Calculate the time taken for the temperature of water to rise from $25° \mathrm{C}$ to its boiling point $100°\mathrm{C}$. Specific heat capacity of water is $4.2 \mathrm{J} {\mathrm{g}}^{-1}{\mathrm{K}}^{-1}$.