Embibe Experts Solutions for Chapter: Thermal Properties of Matter, Exercise 1: Exercise - 1

A small quantity of mass $m$ of water at a temperature $\mathrm{\theta }($ in ${}^{\circ }\mathrm{C})$ is poured on to a large mass $M$ of ice which is at its melting point. If $c$ is the specific heat capacity of water and  $L$ the latent heat of fusion of ice, then the mass of ice melted is given by,

A steel scale is to be prepared such that the millimeter intervals are to be accurate within $6\times {10}^{–5} \mathrm{mm}$. The maximum temperature variation from the temperature of calibration during the reading of the millimeter marks is $\left(\alpha =12\times {10}^{–6} °{\mathrm{C}}^{-1}\right)$

Expansion during heating

If a bimetallic strip is heated, it will 

A liquid with a coefficient of volume expansion $\mathrm{\gamma }$ is filled in a container of a material having the coefficient of linear expansion $\mathrm{\alpha }$. If the liquid overflows on heating, then –

$16 \mathrm{g}$ of oxygen at $37 °\mathrm{C}$ is mixed with $14 \mathrm{g}$ of nitrogen at $27 °\mathrm{C}$. Find the temperature of the mixture?

Calculate the value of the mechanical equivalent of heat from the following data. Specific heat capacity of air at constant volume and at constant pressure are $4.93 \mathrm{cal} {\left(\mathrm{mol} \mathrm{K}\right)}^{-1}$ and $6.90 \mathrm{cal} {\left(\mathrm{mol} \mathrm{K}\right)}^{-1}$, respectively. Gas constant $R=8.3 \mathrm{J} {\left(\mathrm{mol} \mathrm{K}\right)}^{-1}$. 

Boiling water is changing into steam. Under this condition, the specific heat of water is