The rate of diffusion of a gas is proportional to

Important Questions on States of Matter: Gases and Liquids

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The ratio of rates of diffusion of oxygen and an unknown gas is $1: 4$. The unknown gas is

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escape in the time required for one-half of the hydrogen to escape?

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Two gases $\mathrm{A}$ and $\mathrm{B}$ are released from the two ends of a tunnel of length $100 \mathrm{m}$. A travels $40 \min$, before meeting the gas $\mathrm{B}$ in the tunnel. If the molecular weight of $\mathrm{B}$ is $18$ , what is the molecular weight of $\mathrm{A}$ ?

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

For gaseous state, if most probable speed is denoted by ${\mathrm{C}}^{*}$, average speed by $\overline{\mathrm{C}}$  and root mean square speed by $\mathrm{C}$, then for many molecules, what is the ratios of these speeds?

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Diffusion of ${\mathrm{CH}}_4 \left(\mathrm{g}\right)$ and ${\mathrm{O}}_2 \left(\mathrm{g}\right)$ occurs under similar conditions, then the ratio of their rates of diffusion is

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

$0.5$ moles of gas $\mathrm{A}$ and $\mathrm{x}$ moles of gas $\mathrm{B}$ exert a pressure of $200 \mathrm{P}\mathrm{a}$ in a container of volume $10\mathrm{ }{\mathrm{m}}^3$ at $1000\mathrm{ }\mathrm{K}$ . Given, $\mathrm{R}$ is the gas constant in ${\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1}, \mathrm{x}$ is:

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The rate of diffusion of methane at a given temperature is twice that of gas $\mathrm{X}$. The molecular weight of gas $\mathrm{X}$ is

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Identify the correct labels of $\mathrm{A},\mathrm{}\mathrm{B}$ and $\mathrm{C}$ in the following graph from the options given below:

Root mean square speed $\left({\mathrm{V}}_{\mathrm{r}\mathrm{m}\mathrm{s}}\right);$ most proable speed $\left({\mathrm{V}}_{\mathrm{m}\mathrm{p}}\right);$ Average speed $\left({\mathrm{V}}_{\mathrm{a}\mathrm{v}}\right)$

HARD

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

A $10$ litre cylinder contains equal volumes of ${\mathrm{H}}_2$ and $\mathrm{He}$. If the mixture is allowed to diffuse from an opening, estimate the percent composition of the output gas. (Assume ideal behaviour of gas mixture)

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

At same temperature and pressure, the rate of diffusion of gas $\text{'}\mathrm{X}\text{'}$ is $3\sqrt{3}$ times that of a gaseous hydrocarbon of molar mass $54 \mathrm{g} {\mathrm{mol}}^{-1}$. The molar mass of $\mathrm{X}$ in $\mathrm{g} {\mathrm{mol}}^{-1}$ is

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is : (Atomic masses : He = 4 u, O = 16 u)

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

According to Graham's Law, the rate of diffusion of $CO, O_2, N_2 \mathrm{a}\mathrm{n}\mathrm{d} C{O}_2$ follows the order:

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Initially, the root-mean-square (RMS) velocity of ${\mathrm{N}}_2$ molecules at certain temperature is $\mathrm{u}$. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new RMS velocity will be:

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Equal weights of ethane and hydrogen are mixed in an empty container at $25°\mathrm{C}.$ The fraction of total pressure exerted by hydrogen is

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Points $\mathrm{I},\mathrm{ }\mathrm{I}\mathrm{I}$ and $\mathrm{I}\mathrm{I}\mathrm{I}$ in the following plot respectively correspond to (${\mathrm{V}}_{\mathrm{m}\mathrm{p}}:$ most probable velocity)

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

If the kinetic energy and $\mathrm{RMS}$ speed of a gas at a certain temperature are $4.0 \mathrm{kJ} {\mathrm{mol}}^{-1}$ and $5.0\times {10}^4 \mathrm{cm} {\mathrm{s}}^{-1}$, respectively. The molecular weight of the gas is

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

At what temperature $($in$K)$, the most probable velocity of ozone gas is equal to RMS velocity of oxygen gas at $t°\mathrm{C}?$

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Which of the following statement is not true?

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Sulphur dioxide and oxygen were allowed​ to diffuse through a porous partition. $20 {\mathrm{dm}}^3$ of ${\mathrm{SO}}_2$ diffuses through the porous partition in $60$ seconds. The volume of ${\mathrm{O}}_2$ in ${\mathrm{dm}}^3$ which diffuses under the similar condition in $30$ seconds will be (atomic mass of sulphur$= 32 \mathrm{u}$);

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

A specific volume of $H_2$ requires $24 \mathrm{s}$ to diffuse out of a container. The time required by an equal volume of $O_2$ to diffuse out under identical conditions, is