Q29 / 90 · JEE Main 2023 (08 Apr Shift 1) · Chemistry

Figure

Three bulbs are filled with CH4, CO2 and Ne as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be______ atm. (Nearest integer).

Correct answer: 3

Solution

The total number of moles remains constant.

n1+n2+n3=nf

n1,n2, n3 moles of gases in the individual containers. nf is resultant moles.

Using ideal gas equation PV=nRT, we van write as 

P1V1RT+P2V2RT+P3V3RT=PfVfRT

P1V1+P2V2+P3V3=PfVf

2×2+4×3+3×4=Pf×9

Pf=289≈3

Hence, the correct answer is 3.

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