A long rectangular box is filled with Cl2 (atomic mass=35.45) which is known to contain only Cl35 and Cl37. If the box can be divided into a partition and the two types of chlorine molecule are put into two compartments respectively. Calculate where should partition to be made if pressure on both sides is to be same? The ratio of pressure to original pressure is 1/x.
So, the value of x is:

Open in App

Solution

let $n_{1}$ and $$n_2 $b e t h e m o l e o f$ Cl_{35} $a n d$ Cl_{37}$ in mixture then
Average molar mass $= \frac{35 * n_{1} + 37 * n_{2}}{n_{1} + n_{2}}$
$35.45 = \frac{35 * n_{1} + 37 * n_{2}}{n_{1} + n_{2}}$
$\frac{n_{1}}{n_{2}}$ =3.44
$P V_{1} = n_{1} R T; P V_{2} = n_{2} R T$
$\frac{v_{1}}{V_{2}} = \frac{n_{1}}{n_{2}}$
At constant P and T,
Volume of gas $\propto$ number of mole i.e.the mole ratio yields the volume ratio .
Therefore partition should be made in the volume ratio of 3.44: 1.Also, the pressure at this condition is same as the original condition since the volume of box and number of mole along with temperature are constant.
So, the value of x is 1.

Suggest Corrections

Similar questions

Q. A long rectangular box is filled with

C l_{2}

(atomic mass=35.45) which is known to contain only

C l_{35}

and

C l_{37}

. If the box can be divided a partition and the two types of chlorine molecule are put into two compartments respectively. Where should are partition be made if the pressure on both sides is to be same?The ratio of pressure to original Pressure is x.
So, the value of x is:

Q. A box is divided into two equal compartments by a thin partition and they are filled with gases

X

and

Y

respectively. The two compartments have a pressure of

250 t o r r

each. The pressure after removing the partition will be equal to:

A box of 1 L capacity is divided into two equal compartments by a thin partition which are filled with 2g H2 and 16g CH4 respectively. The pressure in each compartment is recorded as P atm. The total pressure when partition is removed will be?

Q. A box of

1 L

capacity is divided into two equal compartments by a thin partition which are filled with

2 g

H_{2}

and

16 g

C H_{4}

respectively. The pressure in each compartment is recorded as

P a t m

. The total pressure when partition is removed will be :

Q. A box of 1-litre capacity is divided into two equal compartments by a thin partition which is filled with 6g of

H_{2}

and 16 g

C H_{4}

respectively.The pressure in each compartment is recorded as P atm. The total pressure when partition is removed will be:

Join BYJU'S Learning Program