Graham's Law of Effusion

Q. $5\text{mL}$ of $H_2$ gas diffuses out in $1$ second from a hole. Find the volume of $O_2$ that will diffuse out from the same hole under identical conditions in $2$ seconds.

1. $2.5\text{mL}$
2. $2.5\text{L}$
3. $3.5\text{L}$
4. $4\text{L}$

Q. A bottle of dry ammonia and a bottle of dry hydrogen chloride connected with a long tube are opened simultaneously at both ends. The white ammonium chloride ring first formed will be:

1. Near the ammonia bottle
2. Throughout the length of the tube
3. At the centre of the tube
4. Near the hydrogen chloride bottle

Q. Three footballs are respectively filled with nitrogen, hydrogen and helium. If the leaking of the gas occurs with time from the filling hole, then the ratio of the rate of leaking of gases $(r_{N_2}:r_{H_2}:r_{He})$ from three footballs (in equal time interval) is:

1. $(1:\sqrt{14}:\sqrt{7})$
2. $(\sqrt{14}:\sqrt{7}:1)$
3. $(\sqrt{7}:1:\sqrt{14})$
4. $(1:\sqrt{7}:\sqrt{1}4)$

Q. For 10 min each, at ${27}^{\circ }\text{C}$ from two identical holes, nitrogen and an unknown gas are leaked into a common vessel of $3\text{L}$ capacity. The resulting pressure is 4.18 bar and the mixture contains 0.4 mole of nitrogen gas. Thus, molar mass $\left(\text{in g}\right)$ of the unknown gas is:

1. $417.4$
2. $28.0$
3. $14.91$
4. $2.0$

Q. What is the ratio of rates of effusion of one mole of $O_2$ and one mole of $H_2$, if both are kept at identical pressure and temprature?

1. $4:1$
2. $1:4$
3. $2:1$
4. $1:8$

Q. A gas with formula $C_n{H}_{2n+2}$ diffuses through the porous plug at a rate one sixth of the rate of diffusion of hydrogen gas under similar condition. The formula of gas is:

1. $C_2{H}_6$
2. $C_{10}{H}_{22}$
3. $C_5{H}_{12}$
4. $C_9{H}_{14}$

Q.

If methane and helium are allowed to diffuse out of a container under identical conditions of temperature and pressure, the ratio of rate of diffusion of methane to helium is:

1. 4.0

2. 1.0

3. 2.0

4. 0.5

Q. 1 mol of helium and 3 mol of $N_2$ exert a pressure of 16 atm. Due to a hole in the vessel in which the mixture is placed, the mixture leaks out. Thus, the ratio of rates of helium and nitrogen effusing out initially is:

1. 0.38
2. 2.65
3. 1.14
4. 0.88

Q. A certain volume of nitrogen gas at 0.8 atm takes 25 seconds to diffuse through a pin hole whereas the same volume of an unknown compound of xenon and flourine at 1.6 atm takes 37 second to diffuse through the same hole. The molecule formed can be expressed as $Xe{F}_n$. Find the value of $n$.
(Given: Molecular mass of Xe = 131 u)

Q. A gas with formula $C_n{H}_{2n+2}$ diffuses through the porous plug at a rate one sixth of the rate of diffusion of hydrogen gas under similar condition. The formula of gas is:

1. $C_2{H}_6$
2. $C_{10}{H}_{22}$
3. $C_5{H}_{12}$
4. $C_9{H}_{14}$

Q.

See the figure

The valves of X and Y are opened simultaneously.

The white fumes of $N{H}_{4}Cl$ will first form close to which of A, B and C?

1. A

2. B

3. C

4. A, B and C simultaneously

Q. What is the ratio of rates of effusion of one mole of $O_2$ and one mole of $H_2$, if both are kept at identical pressure and temprature?

1. $1:4$
2. $2:1$
3. $1:8$
4. $4:1$

Q.

Helium gas at 1 atm and $S{O}_2$ at 2 atm pressure, temperature being the same, are released seprately at the same moment into 1m long evacuated tubes of equal diameters. If helium reaches the other end of the tube in ts, what distance $S{O}_2$ would traverse in the same time interval in the other tube ?

1. 25 cm

2. 50 cm

3. 60 cm

4. 75 cm

Q. Which of the following pairs of gases will have identical rate of effusion under similar conditions?

1. Diprotium and dideuterium
2. Carbon dioxide and ethane
3. Dideuterium and helium
4. Ethene and ethane

Q.

Two containers A and B have the same volume. Container 'A' contains 5 mole of oxygen gas. Container 'B' contains 3 moles of He gas and 2 mole of $C{H}_4$ gas. Both the containers are separately kept in vaccum at the same temperature. Both the containers have very small orifices of the same area through which the gases leak out. The rate of diffusion of $O_2$ is how many times the rate of diffusion of He and $C{H}_4$ mixture.

1. $\sqrt{\frac{8.8}{32}}$

2. $\sqrt{\frac{7}{32}}$

3. $\frac{3}{2}\sqrt{\frac{8.8}{32}}$

4. $\sqrt{\frac{32}{8.8}}$

Q. A certain volume of $H_2$ effuses from an apparatus in one minute. The same volume of ozonized oxygen $(O_3+O_2\text{mix})$ took $246\text{s}$ to effuse from the apparatus under identical conditions. Find the % of oxygen in the ozonized oxygen.

1. 89.87
2. 99.87
3. 79.87
4. 69.87

Q.

Equal volumes of two gases A and B diffuse through a porous pot in 20s and 10s, respectively .If the molar mass of A be $80gmo{l}^{-1}$, Find the molar mass of B.

1. $M_B=30gmo{l}^{-1}$

2. $M_B=26gmo{l}^{-1}$

3. $M_B=20gmo{l}^{-1}$

4. $M_B=32gmo{l}^{-1}$

Q.

Define: Diffusion

Q. What is the correct relationship between the pHs of isomolar solutions of sodium oxide $\left(p{H}_1\right),$ sodium sulphide $\left(p{H}_2\right),$ sodium selenide $p{H}_3)$ and sodium telluride $p{H}_4)$ ?

1. $p{H}_1>p{H}_2\approx p{H}_3>p{H}_4$
2. $p{H}_1<p{H}_2<p{H}_3<p{H}_4$
3. $p{H}_1<p{H}_2<p{H}_3\approx p{H}_4$
4. $p{H}_1>p{H}_2>p{H}_3>p{H}_4$

Q. At the start of an experiment, one end of a U-tube of 6 mm glass tubing is immersed in concentrated ammonia solution and the other end in concentrated hydrochloric acid. At the point in the tube where vapour of ammonia and hydrochloric acid meet, white cloud is formed. At what fraction of the distance along the tube from the ammonia solution, the white cloud is first formed?

1. 0.682
2. 0.534
3. 0.466
4. 0.595

Q. Which of the following statement(s) is/are correct? He escapes at a rate of:

1. 8.65 times of $S{O}_3$
2. 2.65 times of $CO$
3. 11 times of $C{O}_2$
4. 4 times of $S{O}_2$

Q. A straight glass tube has 2 inlets $X$ and $Y$ at the two ends of a 200 cm long tube as shown in the figure. $HCl$ gas through inlet $X$ and $N{H}_3$ gas through inlet $Y$ are allowed to enter in the tube at the same time and under identical conditions. At a point $P$ inside the tube, both the gases meet first. The distance of point $P$ from $X$ is:

1. 118.9 cm
2. 81.1 cm
3. 150.1 cm
4. 108.9 cm

Q. X and Y are two volatile liquids with molar weights of 10 $gmo{l}^{-1}$and 40 $gmo{l}^{-1}$ respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length L = 24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is first observed at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours.

The value of d in cm (shown in the figure as estimated from Graham’s law, is

1. 8
2. 12
3. 16
4. 20

Q.

50 ml of hydrogen difuses out through a small hole from a vessel in 20 minutes.The time needed for 40 ml of oxygen to diffuse out is ___.

1. 12 min

2. 64 min

3. 8 min

4. 32 min

Q.

The rates of diffusion of $S{O}_2,C{O}_2,PC{l}_{3}andS{O}_3$ are in the following order –

1. $PC{l}_3$>$S{O}_3$>$S{O}_2$>$C{O}_2$

2. $C{O}_2$>$S{O}_2$>$PC{l}_3$>$S{O}_3$

3. $S{O}_2$>$S{O}_3$>$PC{l}_3$>$C{O}_2$

4. $C{O}_2$>$S{O}_2$>$S{O}_3$>$PC{l}_3$

Q.

The rate of diffusion of Methane at certain temperature is 2 times that of gas X. The molecular mass of X is___.

1. 64

2. 32

3. 4

4. 8

Q. A certain volume of nitrogen gas at 0.8 atm takes 25 seconds to diffuse through a pin hole whereas the same volume of an unknown compound of xenon and flourine at 1.6 atm takes 37 second to diffuse through the same hole. The molecule formed can be expressed as $Xe{F}_n$. Find the value of $n$.
(Given: Molecular mass of Xe = 131 u)

Q. Three footballs are filled with nitrogen, hydrogen and helium respectively. If the gases leak, then the ratio of the rate of leakage $(r_{N_2}:r_{H_2}:r_{He})$ from the three footballs (at the same time) is:

1. $(1:\sqrt{14}:\sqrt{7})$
2. $(\sqrt{14}:\sqrt{7}:1)$
3. $(\sqrt{7}:1:\sqrt{14})$
4. $(1:\sqrt{7}:\sqrt{14})$

Q. According to Graham's law, at a given temperature, the ratio of the rates of diffusion $\frac{r_A}{r_B}$ of gases $A$ and $B$ is given by:

(where $P$ and $M$ are pressures and molecular weights of gases $A$ and $B$ respectively)

1. $\left(\frac{P_A}{P_B}\right){\left(\frac{M_A}{M_B}\right)}^{\frac{1}{2}}$
2. $\left(\frac{M_A}{M_B}\right){\left(\frac{P_A}{P_B}\right)}^{\frac{1}{2}}$
3. $\left(\frac{P_A}{P_B}\right){\left(\frac{M_B}{M_A}\right)}^{\frac{1}{2}}$
4. $\left(\frac{M_A}{M_B}\right){\left(\frac{P_B}{P_A}\right)}^{\frac{1}{2}}$

Q. What is the ratio of rates of effusion of one mole of $O_2$ and one mole of $H_2$, if both are kept at identical pressure and temprature?

1. $1:4$
2. $2:1$
3. $1:8$
4. $4:1$