Assignment

A column of mercury of length $h_0=10 \mathrm{cm}$ is contained in the middle of a narrow horizontal tube soldered at both ends. The air in both halves of the tube is under a pressure of $P_0=76 \mathrm{cmHg}.$ The length of the tube is $1 \mathrm{m}$. If the tube is placed vertically, then find the distance (in $\mathrm{cm})$ by which the mercury column will move.

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

Volume of an ideal gas in a balloon varies as $V\propto T^3,$ Its pressure will vary with volume as $P\propto V^n.$ Value of $n,$ is

Two containers of equal volumes contain the same gas at same pressure and at temperature $T$ and $2T.$ On joining the vessels, the common temperature is $nT.$ Value of $n,$ is

During an experiment an ideal gas obeys a law $V{P}^3=$ Constant. The gas is initially at temperature $T_0$ and volume $V_0.$ When gas expands to a volume $8V_0,$ its temperature will be $n{T}_0.$ Value of $n,$ is

There are two separate gases with the same number density. If the ratio of the diameters of their molecules is $4: 1,$ then the ratio of their mean free path is $1: n.$ Value of $n,$ is

Which of the following methods will enable the volume of ideal gas to be increased four times ?

Two moles of ideal gas (monatomic) undergo the process $P=\frac{2V^2}{1+V^2},$ then change in temperature of gas when volume changes from $V=1{ \mathrm{m}}^3$ to $2{ \mathrm{m}}^3$ is $\frac{11}{nR}.$ Value of $n,$ is _______