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

The water equivalent of a copper calorimeter is $4.5 \mathrm{g}$. If the specific heat of copper is $0.09$ cal ${\mathrm{g}}^{-1}{{}^{\circ }\mathrm{C}}^{-1}$, the

Two rods $A$ and $B$ shown in figure have identical dimensions. They are in contact with two heat baths maintained at $50°\mathrm{C}$ and $10°\mathrm{C}$ respectively. Temperature of junction is $20°\mathrm{C}$

A heated body emits radiation which has maximum intensity near the wavelength ${\lambda }_0.$ The emissivity of its material is $0.75.$ The absolute temperature of the body is doubled

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

$2$ 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 $n.$

A mixture of $n_1$ moles of monoatomic gas and $n_2$ moles of diatomic gas has $\frac{C_p}{C_v}=\gamma =1.5.$ Value of $\frac{n_1}{n_2},$ is

Two containers $A$ and $B$ are connected by a conducting solid cylindrical rod of length $\frac{242}{7} \mathrm{cm}$ and radius $\sqrt{8.3} \mathrm{cm}.$ Thermal conductivity of the rod is $693$ watt $/\mathrm{mK}.$ The container A contains two mole of oxygen gas and the container $B$ contains four mole of helium gas. At time $t=0$ temperature difference of the containers is $50°\mathrm{C},$ after what time (in seconds) temperature difference between them will be $25°\mathrm{C}.$ Transfer of heat takes place through the rod only. Neglect radiation loss. Take $R=8.3 \mathrm{J}/\mathrm{mole} K$, $\ln 2=0.693$ and $\mathrm{\pi }=\frac{22}{7}$

The emissive power of a black body of surface area $A=10 {\mathrm{m}}^2$ at $T=300 \mathrm{K}$ is $10$ watt $/{\mathrm{m}}^2.$ Consider a body $B$ of area $A=10 {\mathrm{m}}^2,$ coefficient of reflectivity $r=0.3$ and coefficient of transmission $t=0.5 .$ Its temperature is $300 \mathrm{K}.$ Then emissive power of $B$ in $W/m^2$ is.......