Jatinder Singh Solutions for Chapter: Heat, Exercise 1: Expected Questions

$200 \mathrm{g}$ 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 $4.2 \mathrm{J} {\mathrm{g}}^{-1}{\mathrm{K}}^{-1}$.

Find the time taken by a $500 \mathrm{W}$ Heater to raise the temperature of $50 \mathrm{kg}$ of material of specific heat capacity $960 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{C}}^{-1}$, from ${18}^{ °}\mathrm{C}$ to ${38}^{ °}\mathrm{C}$. Assume that all the heat energy supplied by the heater is given to the material.

An electric heater of power $600 \mathrm{W}$ raises the temperature of $4.0 \mathrm{kg}$ of a liquid from $10.0^{°}\mathrm{C}$ to $15.0^{°}\mathrm{C}$ in $100 \mathrm{s}$. Calculate the specific heat capacity of the liquid.

$0.5 \mathrm{kg}$ of lemon squash at ${30}^{ °}\mathrm{C}$ is placed in a refrigerator which can remove heat at an average rate of $30 \mathrm{J} {\mathrm{s}}^{-1}$. How long will it take to cool the lemon squash to $5^{ °}\mathrm{C} ?$ Specific heat capacity of squash $=4200 \mathrm{J} {\mathrm{kg}}^{-1}{\mathrm{K}}^{-1}$.

A vessel of negligible thermal capacity contains $5.0 \mathrm{kg}$ of water at $50{ }^{°}\mathrm{C}$. If $5.0 \mathrm{kg}$ of ice at $0^{ °}\mathrm{C}$ is added to it, find heat energy imparted by water in fall of its temperature from ${50}^{ °}\mathrm{C}$ to $0^{ °}\mathrm{C}$. Given specific heat capacity of water $=4200 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$, specific latent heat of ice $=336 \mathrm{kJ} {\mathrm{kg}}^{-1}$.

A vessel of negligible thermal capacity contains $5.0 \mathrm{kg}$ of water at ${50}^{ °}\mathrm{C}$. If $5.0 \mathrm{kg}$ of ice at $0^{ °}\mathrm{C}$ is added to it, find,

1. Mass of ice melted.
2. Final temperature of mixture
3. Mass of water at $0° C$ in mixture
   Given specific heat capacity of water $=4200 {\mathrm{Jkg}}^{-1}{\mathrm{K}}^{-1}$, specific latent heat of ice $=336 {\mathrm{KJkg}}^{-1}$.

Find the result of mixing $10 \mathrm{g}$ of ice at $-{10}^{°}\mathrm{C}$ with $10 \mathrm{g}$ of water at ${10}^{°}\mathrm{C}$. Specific heat capacity of ice $=2.1 \mathrm{J} {\mathrm{g}}^{-1} {\mathrm{K}}^{-1}$, specific latent heat of ice $=336 \mathrm{J} {\mathrm{g}}^{-1}$ and specific heat capacity of water $=4.2 \mathrm{J} {\mathrm{g}}^{-1 }{\mathrm{K}}^{-1}$.

What will be the result of mixing $400 \mathrm{g}$ of copper chips at ${500}^{°}\mathrm{C}$ with $500 \mathrm{g}$ of crushed ice at $0^{°}\mathrm{C} ?$ Specific heat capacity of copper $=0.42 \mathrm{J} {\mathrm{g}}^{-1} {\mathrm{K}}^{-1}$, Specific latent heat of fusion of ice $=340 \mathrm{J} {\mathrm{g}}^{-1}$.