A sealed flask with a capacity of $2{\mathrm{dm}}^3$ contains $11 \mathrm{g}$ of propane gas. The flask is so weak that it will burst if the pressure becomes $2\mathrm{MPa}$. The minimum temperature at which the flask will burst is ${}^{\circ }\mathrm{C}$. [Nearest integer] (Given: $\mathrm{R}=8.3 \mathrm{J}{ \mathrm{K}}^{-1}{ \mathrm{mol}}^{-1}$. Atomic masses of $\mathrm{C}$ and $\mathrm{H}$ are $12\mathrm{u}$ and $1\mathrm{u}$ respectively.) (Assume that propane behaves as an ideal gas.)

A $10 \mathrm{g}$ mixture of hydrogen and helium is contained in a vessel of capacity $0.0125{ \mathrm{m}}^3$ at $6$ bar and $27 °\mathrm{C}$. The mass of helium in the mixture is ..... $\mathrm{g}$.

(Given : $\mathrm{R}=8.3{\mathrm{JK}}^{-1}{ \mathrm{mol}}^{-1}$ (Atomic masses of $\mathrm{H}$ and $\mathrm{He}$ are $1\mathrm{u}$ and $4\mathrm{u}$, respectively)

'$\mathrm{x}$' $\mathrm{g}$ of molecular oxygen $\left({\mathrm{O}}_2\right)$ is mixed with $200 \mathrm{g}$ of neon $\left(\mathrm{Ne}\right)$. The total pressure of the nonreactive mixture of ${\mathrm{O}}_2$ and $\mathrm{Ne}$ in the cylinder is $25$ bar. The partial pressure of $\mathrm{Ne}$ is $20$ bar at the same temperature and volume. The value of '$\mathrm{x}$' is

[Given: Molar mass of ${\mathrm{O}}_2=32 \mathrm{g} {\mathrm{mol}}^{-1}$. Molar mass of $\mathrm{Ne}=20 \mathrm{g} {\mathrm{mol}}^{-1}$]

The number of statement's, which are correct with respect to the compression of carbon dioxide from point (a) in the Andrews isotherm from the following is _________.

A. Carbon dioxide remains as a gas upto point (b)
B. Liquid carbon dioxide appears at point (c)
C. Liquid and gaseous carbon dioxide coexist between points (b) and (c)
D. As the volume decreases from (b) to (c), the amount of liquid decreases 

Based on the given figure, the number of correct statement/s is/are

A. Surface tension is the outcome of equal attractive and repulsion forces acting on the liquid molecule in bulk.

B. Surface tension is due to uneven forces acting on the molecules present on the surface.

C. The molecule in the bulk can never come to the liquid surface.

D. The molecules on the surface are responsible for vapour pressure if the system is a closed system.

For $1 \mathrm{mol}$ of gas, the plot of $\mathrm{pV}$ vs $\mathrm{p}$ is shown below. p is the pressure and $\mathrm{V}$ is the volume of the gas.

What is the value of compressibility factor at point $A$?