Beta Question Bank for Engineering: Chemistry>Chapter 3 - States of Matter: Gases and Liquids>EXERCISE-4>Q 5

HARD

JEE Main/Advance

IMPORTANT

Earn 100

A gas present in a container connected to frictionless, weightless piston operating always at one atmosphere pressure such that it permits flow of gas outside (with no adding of gas). The graph of $n$ vs $T$ (Kelvin) was plotted & was found to be a straight line with co-ordinates of extremen points as $(300, 2) & (200, 3) .$ Calculate :

(i) relationship between $n$ & $T$

(ii) relationship between $V & T$

(iii) Maxima or minima value of $' V'$

Important Questions on States of Matter: Gases and Liquids

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Chemistry>Chapter 3 - States of Matter: Gases and Liquids>EXERCISE-4>Q 6

Calculate the volume occupied by

14.0 g N_{2}

at

200 K

and

8.21

atm prressure if

\frac{P_{C} V_{C}}{{RT}_{C}} = \frac{3}{8}

and

\frac{P_{r} V_{r}}{T_{t}} = 2.2 .

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Chemistry>Chapter 3 - States of Matter: Gases and Liquids>EXERCISE-4>Q 7

Calculate the value of

σ, λ, Z_{1}

and

Z_{11}

for nitrogen molecules at

25 ° C

and at pressure of

10^{- 3} mm Hg .

Given that

b

for nitrogen is

39.1 {cm}^{3} {mol}^{- 1} .

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Chemistry>Chapter 3 - States of Matter: Gases and Liquids>EXERCISE-4>Q 8

The mean free path of the molecule of a certain gas at $300 K$ is $2.6 \times 10^{- 5} m .$ The collision diameter of the molecule is $0.26 nm .$ Calculate

(a) pressure of the gas, and

(b) number of molecules per unit volume of the gas.

HARD

JEE Main/Advance

IMPORTANT

Beta Question Bank for Engineering: Chemistry>Chapter 3 - States of Matter: Gases and Liquids>EXERCISE-4>Q 9

Find the critical constant $(P_{c}, V_{c}$ and $T_{c})$ in terms of $A$ and $B,$ also find compressibility factor $(z)$ for the following equation of state.

$PV = RT - \frac{A}{V} + \frac{2 B}{V^{2}}$

where $A$ and $B$ are constant, $P =$ pressure and $V =$ molar volume.