Gaseous State · Chemistry · JEE Main

A certain quantity of real gas occupies a volume of $$0.15~ \mathrm{dm}^{3}$$ at $$100 \mathrm{~atm}$$ and $$500 \mathrm{~K}$$ when its compressibility factor is 1.07 . Its volume at 300 atm and $$300 \mathrm{~K}$$ (When its compressibility factor is 1.4 ) is ___________ $$\times 10^{-4} ~\mathrm{dm}^{3}$$ (Nearest integer)

At $$600 \mathrm{~K}$$, the root mean square (rms) speed of gas $$\mathrm{X}$$ (molar mass $$=40$$ ) is equal to the most probable speed of gas $$\mathrm{Y}$$ at $$90 \mathrm{~K}$$. The molar mass of the gas $$\mathrm{Y}$$ is ___________ $$\mathrm{g} ~\mathrm{mol}^{-1}$$. (Nearest integer)

At constant temperature, a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is __________ mm Hg. (Nearest integer)

Three bulbs are filled with $$\mathrm{CH}_{4}, \mathrm{CO}_{2}$$ and $$\mathrm{Ne}$$ as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be ___________ atm. (Nearest integer)

The total pressure of a mixture of non-reacting gases $$\mathrm{X}(0.6 \mathrm{~g})$$ and $$\mathrm{Y}(0.45 \mathrm{~g})$$ in a vessel is $$740 \mathrm{~mm}$$ of $$\mathrm{Hg}$$.

The partial pressure of the gas $$\mathrm{X}$$ is _______ $$\mathrm{mm}$$ of $$\mathrm{Hg}$$. (Nearest Integer)

(Given : molar mass $$\mathrm{X}=20$$ and $$\mathrm{Y}=45 \mathrm{~g} \mathrm{~mol}^{-1}$$)

A $$300 \mathrm{~mL}$$ bottle of soft drink has $$0.2 ~\mathrm{M}~ \mathrm{CO}_{2}$$ dissolved in it. Assuming $$\mathrm{CO}_{2}$$ behaves as an ideal gas, the volume of the dissolved $$\mathrm{CO}_{2}$$ at $$\mathrm{STP}$$ is ____________ $$\mathrm{mL}$$. (Nearest integer)

Given : At STP, molar volume of an ideal gas is $$22.7 \mathrm{~L} \mathrm{~mol}^{-1}$$

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) and (c), the amount of liquid decreases

'x' g of molecular oxygen $$\left(\mathrm{O}_{2}\right)$$ is mixed with $$200 \mathrm{~g}$$ of neon (Ne). The total pressure of the non-reactive mixture of $$\mathrm{O}_{2}$$ and Ne in the cylinder is 25 bar. The partial pressure of Ne is 20 bar at the same temperature and volume. The value of 'x' is _________.

[Given: Molar mass of $$\mathrm{O}_{2}=32 \mathrm{~g} \mathrm{~mol}^{-1}$$.

Molar mass of $$\mathrm{Ne}=20 \mathrm{~g} \mathrm{~mol}^{-1}$$]

For a real gas at $$25^{\circ} \mathrm{C}$$ temperature and high pressure (99 bar) the value of compressibility factor is 2, so the value of Vander Waal's constant 'b' should be __________ $$\times 10^{-2} \mathrm{~L} \mathrm{~mol}^{-1}$$ (Nearest integer)

(Given $$\mathrm{R}=0.083 \mathrm{~L}$$ bar $$\mathrm{K}^{-1} \mathrm{~mol}^{-1}$$)

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 $$27^{\circ} \mathrm{C}$$. The mass of helium in the mixture is ____________ g. (nearest integer)

Given: $$\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$$

(Atomic masses of $$\mathrm{H}$$ and $$\mathrm{He}$$ are $$1 \mathrm{u}$$ and $$4 \mathrm{u}$$, respectively)

A mixture of hydrogen and oxygen contains $$40 \%$$ hydrogen by mass when the pressure is $$2.2$$ bar. The partial pressure of hydrogen is bar. (Nearest Integer)

A sealed flask with a capacity of 2 dm³ contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minimum temperature at which the flask will burst is ___________ $$^\circ$$C. [Nearest integer]

(Given : R = 8.3 J K^$$-$$1 mol^$$-$$1 , Atomic masses of C and H are 12u and 1u, respectively.) (Assume that propane behaves as an ideal gas.)

The pressure of a moist gas at $$27^{\circ} \mathrm{C}$$ is $$4 \mathrm{~atm}$$. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is ________________ $$\times 10^{-1} \mathrm{~atm}$$. (Nearest integer)

(Given : The vapour pressure of water at $$27^{\circ} \mathrm{C}$$ is $$0.4 \mathrm{~atm} .$$ )

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL^$$-$$1 at 257$$^\circ$$C and 100 mm Hg. The molar mass of geraniol is ____________ g mol^$$-$$1. (Nearest Integer)

[Given : R = 0.082 L atm K^$$-$$1 mol^$$-$$1]

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27$$^\circ$$C under 1.5 bar pressure. The molar mass of the gas is __________ g mol^$$-$$1. (Nearest integer)

(Given : R = 0.083 L bar K^$$-$$1 mol^$$-$$1)

2.0 g of H₂ gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is __________ mL.

(Given : R = 0.083 L bar K^$$-$$1 mol^$$-$$1)

A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27$$^\circ$$C. At 03:00 pm, when the temperature is 45$$^\circ$$, the pressure in the tank will be _________ atm. [nearest integer]

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ____________ g mol^$$-$$1. (nearest integer) Assume that the behaviour of gases as ideal.

(Given : The molar mass of hydrogen (H₂) gas is 2.0 g mol^$$-$$1.)

Arrange the following gases in increasing order of van der Waals constant 'a'

A. Ar

B. $$\mathrm{CH}_{4}$$

C. $$\mathrm{H}_{2} \mathrm{O}$$

D. $$\mathrm{C}_{6} \mathrm{H}_{6}$$

Choose the correct option from the following.

For 1 mol of gas, the plot of pV vs. p is shown below. p is the pressure and V is the volume of the gas

What is the value of compressibility factor at point A ?

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas?

An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL^$$-$$1 and 40.5 g when filled with an ideal gas at 0.82 atm at 250 K. The molar mass of the gas in g mol^$$-$$1 is :

(Given : R = 0.082 L atm K^$$-$$1 mol^$$-$$1)