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:

125 t o r r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

500 t o r r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

250 t o r r

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

750 t o r r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $250 t o r r$
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 torr each. The pressure after removing the partition will be equal to 250 torr.
For two compartments, pressure, temperature and volume are same. Hence, the number of moles of two gases are equal as $n = \frac{P V}{R T}$ .
When the partition is removed, the volume is doubled and the total number of moles are also doubled as compared to individual compartments. Hence, the pressure remains unchanged at 250 torr.
$P = \frac{n R T}{V}$
$P \propto \frac{T}{V}$

Suggest Corrections

Similar questions

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 :

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-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:

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 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:

Join BYJU'S Learning Program

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

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: