Two gases A and B having molar mass 60 and 45 , respectively, are enclosed in a vessel. The mass of A is 0 . 50 g and that of B 0 . 2 g . The total pressure of the mixture is 750 mm Hg . Calculate partial pressure of the two gases.

∵ Moles n = W mass M molar mass For gas ‘ A ’ , n A = W A M A = 0 . 5 60 moles For gas ‘ B ’ , n B = W B M B = 0 . 2 45 moles Given total pressure P T = 750 mm of Hg According to Dalton's law, Partial pressure P = Total pressure P T × Mole fraction X P A = X A · P T P A = n A n A + n B × P T P A = 0 . 5 60 0 . 5 60 + 0 . 2 45 × 750 P A = 489 . 23 mm of Hg P B = X B · P T P B = n B n A + n B × P T P B = 0 . 2 45 0 . 5 60 + 0 . 2 45 × 750 P B = 260 . 77 mm of Hg

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Important Questions on States of Matter

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 1

Calculate the total pressure in a

10

litre cylinder which contains

0.4 g

of helium,

1.6 g

of oxygen and

1.4 g

of nitrogen at

27 ° C

. Also calculate the partial pressure of helium gas in the cylinder. Assume ideal behavior of gases. Given,

R = 0.082 litre - atm K^{- 1} {mol}^{- 1}

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 2

Equal masses of ${CH}_{4}$ and $O_{2}$ are mixed in an empty container of one litre at $27 ° C$ . Calculate the

(a) fraction of total pressure exerted by $2 g$ of the mixture.

(b) total pressure, if the masses of gases are $32 g$ each.

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 3

Two gases

A

and

B

having molar mass

60

and

45

, respectively, are enclosed in a vessel. The mass of

A

0.50 g

and that of

B 0.2 g

. The total pressure of the mixture is

750 mm Hg

. Calculate partial pressure of the two gases.

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 4

Pure

O_{2}

diffuses through an aperture in

224 s

, whereas mixture of

O_{2}

and another gas containing

80 %

O_{2}

diffuses from the same is

234 \sec

. What is the molar mass of the gas?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 5

A mixture containing

1.12 L

D_{2}

and

2.24 L

H_{2}

NTP

is taken inside a bulb connected to another bulb through a stop cock with a small opening. The second bulb is fully evacuated. The stopcock is opened for a certain time and then closed. The first bulb is now found to contain

0.10 gm

D_{2}

. Determine the

%

by mass of the gases in second bulb.

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 6

Three grams of helium diffuses from a container in

15 \min

. The mass of sulphur dioxide diffusing from the same container over the same time interval will be

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 7

5 s

, the volume

X

H_{2}

gas effuses through a hole in a container. The time taken for the effusion of the same volume of the specified gas under identical conditions is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Physical Chemistry Part 1 JEE Main & Advanced>Chapter 4 - States of Matter>DPP 4.3>Q 8

The degree of dissociation $(α)$ of the reaction ${A_{2}}_{(g)} ⇌ 2 A_{(g)}$ in terms of rate of diffusion $(r_{mix})$ of equilibrium mixture and that of a reference gas $C$ is given by:

where $M$ stands for the respective molar masses.

The temperature of an ideal gas can be increased by

Important Questions on States of Matter

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