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

$2$ moles of a diatomic gas undergoes a thermodynamic process $\frac{P{T}^2}{ V}=$ constant. The molar heat capacity of the gas is $\frac{nR}{2}.$ Find $n.$

The quantity of heat required to convert $2.5 \mathrm{kg}$ of ice at $0 °\mathrm{C}$ to water at $20 °\mathrm{C}$ (assuming the latent heat of ice to be $80 \mathrm{cal} {\mathrm{g}}^{-1}$) is

M grams of steam at $100°\mathrm{C}$ is mixed with $200 \mathrm{g}$ of ice at its melting point in a thermally insulated container. If it produced liquid water at $40°\mathrm{C}$ [heat of vaporization of water is $540 \mathrm{cal}/\mathrm{g}$ and heat of fusion of ice is $80 \mathrm{cal}/\mathrm{g}$] the value of $M$ is_______

How many grams of a liquid of specific heat $0.2 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$ at a temperature of $40 °\mathrm{C}$ must be mixed with $100 \mathrm{gm}$ of a liquid of specific heat $0.5 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$ at a temperature of $20 °\mathrm{C}$, so that the final temperature of the mixture becomes $32 °\mathrm{C}$.

Two liquids of equal volume are mixed thoroughly. Their specific heats are $s_1 \text{and} s_2$, temperature ${\mathrm{\theta }}_1 \text{and} {\mathrm{\theta }}_2$ and densities ${\rho }_1$ and ${\rho }_2$, then the final temperature of the mixture is

A non-isotropic solid metal cube has coefficients of linear expansion as : $5\times {10}^{-5}/{}^{\circ }\mathrm{C}$ along the X-axis and $5\times {10}^{-6}/{}^{\circ }\mathrm{C}$ along the $y$ and the $z$-axis. If the coefficient of volume expansion of the solid is $C\times {10}^{-6}/{}^{\circ }\mathrm{C}$ then the value $C$ is

We are able to squeeze snow and make balls out of it because of

The two-metre scales, one of steel and the other of aluminium agree at $20 °\mathrm{C}$. The ratio of aluminium $\left(\text{in} \mathrm{cm}\right)$ to steel $\left(\text{in} \mathrm{cm}\right)$ at $0 °\mathrm{C}$. $(\alpha$ for steel is $1.1\times {10}^{-5} °{\mathrm{C}}^{-1}$ and for aluminium is $\left.2.3\times {10}^{-5} °{\mathrm{C}}^{-1}\right)$ is