MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Characteristics of Chemical Equilibrium

To an evacuat...

Question

To an evacuated vessel with movable piston under total pressure of $1 a t m, 0.1 m o l$ of $H e$ and $1.0 m o l$ of an unknown compound (vapour pressure = $0.68 a t m$ at $0^{\circ} C$ ) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at $0^{\circ} C$ is close to (nearest integer)

Open in App

Solution

The external pressure or total pressure is $1 a t m$ and the vapour pressure of the compound is $0.68 a t m$ .
Let $n_{x}$ be the moles of unknown compound present in vapour form.
Now according to Dalton's law:
Partial pressure of gas $\propto$ mole fraction.
Partial pressure of gas $=$ mole fraction $\times$ Total pressure
$0.68 = \frac{n_{x}}{n_{x} + n_{H e}} \times 1 0.68 = \frac{n_{x}}{n_{x} + 0.1} n_{x} = 0.212 m o l$
Ideal gas equation :
$P V = n_{T} R T n_{T} = n_{H e} + n_{x} V = \frac{n_{T} R T}{P} V = \frac{(0.212 + 0.1) \times 0.0821 \times 273}{1} \approx 7 L$

Suggest Corrections

thumbs-up

74

Similar questions

Q. To an evacuated vessel with a movable piston under a total pressure of 1 atm, 0.1 mol of He and an unknown compound (vapour pressure 0.68 atm at 0

^{o}

C) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at 0

^{o}

2 g

of a gas A is introduced into an evacuated flask kept at

25^{\circ} C

, the pressure is found to be

1 a t m

3 g

of another gas B is then added to the same flask at the same temperature, the total pressure becomes

1.5 a t m

. Assuming ideal gas behaviour, the value of

\frac{M_{B}}{M_{A}}

to the nearest integer is :

2 g

of a gas A is introduced into an evacuated flask kept at

25^{\circ} C

, the pressure is found to be

1 a t m

3 g

of another gas B is then added to the same flask at the same temperature, the total pressure becomes

1.5 a t m

. Assuming ideal gas behaviour, the value of

\frac{M_{B}}{M_{A}}

to the nearest integer is :

Q. When 2g of a gas A are introduced into an evacuated flask kept at

25^{0} C

, the pressure is found to be one atmosphere, if 3g of another gas B are then added to the same flask, the total pressure becomes 1.5 atm. Assuming ideal gas behaviour, Calculate the ratio of molecular weights

M_{A} : M_{B}

Q. Calculate the total pressure in a

10

litre cylinder which contains

0.4 g

1.6 g

1.4 g

27^{\circ} C

. Also, calculate the partial pressure of helium gas in the cylinder. Assume ideal behaviour of gases:

R = 0.082 l i t r e - a t m K^{- 1} m o l^{- 1}

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Characteristics of Chemical Equilibrium

Standard XII Chemistry

Join BYJU'S Learning Program

CrossIcon