States of matter practice · Mixed difficulty

The temperature at which real gases obey the Boyle’s law over a wide range of pressure is called

One mole of gas $A$ and three moles of a gas $B$ are placed in flask of volume 100 litres at $27^{\circ} \mathrm{C}$. Calculate the total partial pressure of the gases in the mixture.

A pressure cooker reduces cooking time for food because

For a Vander Waal's gas the volume of gas molecules are negligible. The molar volume of gas is $20 \mathrm{~L} / \mathrm{mol}$ at $300 \mathrm{~K}$. The compressibility factor of the gas is

[Given: ${a}=96 \mathrm{~L}^2 \cdot \mathrm{atm} \cdot \mathrm{mol}^{-2}$ and ${R}=0.08 \mathrm{~L} \cdot \mathrm{atm} \cdot \mathrm{mol}^{-1} \mathrm{~K}^{-1}$]

Statement I: Reduced equation of state in terms of reduce: temperature $\theta$, reduced volume $\phi$ and reduced pressure x can be applied to solid, gases and liquid.

Statement II: $\left(\pi+\frac{3}{\phi^2}\right)(3 \phi-1)=8 \theta$. Equation is independent of $p, V$ and $T$ as well as independent of vander Waals' constant $a$ and $b$.

In a mixture of a light gas and a heavy gas in a closed container, the light gas will:

To which of the following gaseous mixture, the Dalton’s law of partial pressures will not apply

Equal volume of different gases at any definite temperature and pressure have

If the density of certain gas at $30^\circ C$ 768 torr is $1.35\,\,Kg/{m^3}$ its density at STP would be

By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?

Oxygen is present in 1 litre flask at a pressure of $7.6 \times 10^{-10} \mathrm{~mm}$ of $\mathrm{Hg}$. Calculate the number of oxygen molecules in the flask at $0^{\circ} \mathrm{C}$.

The joule Thomson coefficient is zero at

Order of intermolecular attractive forces.

$15 \mathrm{~g}$ of a gas present in $5 \mathrm{~L}$ vessel exerts a pressure of $0.1 \, \mathrm{bar}$. What is the root mean square speed of the gas molecules?

A balloon filled with ${\mathrm{N}_2}\mathrm{O}$ is pricked with a sharp point and quickly plunged into a tank of $C{O_2}$ under the same pressure and temperature. The balloon will:

Calculate the weight of methane in a 9L cylinder at 16 atm and $27^\circ C$

Ratio of average to most probable velocity is

Boyle's temperature of helium is, given van der Waals' constant $\mathrm{a}=0.0351 \mathrm{~atm} \mathrm{~L}^2 \mathrm{~mol}^{-2}$ and $b=0.024 \mathrm{~L} \mathrm{~mol}^{-1}$

The root mean square speed of the molecules of diatomic gas is $u$. When the temperature is doubled, the molecules dissociates into two atoms. The new speed of the atom is:

Assertion : Compressibility factor $(Z)$ for non-ideal gases can be greater than 1 .
Reason: Non-ideal gases always exert higher pressure than expected.

Using van der waal's equation, calculate the constant, ' $a$ ' (atm $\operatorname{Ltr}^2 \mathrm{~mole}^{-2}$ ) when two moles of a gas confined in a four litre flask exerts a pressure of $11 \mathrm{~atm}$ at a temperature of $300 \mathrm{~K}$. The value of ' $\mathrm{b}$ ' is $0.05 \mathrm{Litre}^{\text {mole }}$.

Consider 1 $c{m^3}$ sample of air at absolute temperature ${T_0}$ at sea-level and another $1\,\,c{m^3}$ sample of air at a height where the pressure is one third atmosphere. The absolute temperature $T$ of the sample at the height is :

A given mass of helium at STP is allowed to expand to 1.4 times its initial volume by changing the temperature and pressure, then its resultant density would be

The ratio of volume occupied by 1 mole $\mathrm{O}_2$ and 1 mole $\mathrm{CO}_2$ under identical conditions of temperature and pressure is:

The rates of diffusion of $\mathrm{S}{\mathrm{O}_2},\mathrm{C}{\mathrm{O}_2},\mathrm{PC}{\mathrm{l}_3}$ and $\mathrm{S}{\mathrm{O}_3}$ are in the following order

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Amongst $\mathrm{He}, \mathrm{Ne}, \mathrm{Ar}$ and $\mathrm{Kr} ; 1\mathrm{g}$ of activated charcoal adsorbs more of $\mathrm{Kr}$.
Reason R: The critical volume $\mathrm{V_c(cm^3 \,mol^{–1}})$ and critical pressure $P_c$ (atm) is highest for Krypton but the compressibility factor at critical point $Z_c$ is lowest for Krypton.
In the light of the above statements, choose the correct answer from the options given below.

The equation, $\left[ {{P_r} + \frac{3}{{V_r^2}}} \right]\left[ {3{V_r} - 1} \right] = 8{T_r}:$

Assertion: Ice melts faster at high altitude.

Reason : At high altitude, atmospheric pressure is high.

The ratio among most probable velocity, average velocity and root mean square velocity is given by

A gaseous mixture was prepared by taking equal mole of $\mathrm{CO}$ and $\mathrm{N}_2$. If the total pressure of the mixture was found 1 atmosphere, the partial pressure of the nitrogen $\left(\mathrm{N}_2\right)$ in the mixture is