2023 Manipur Kinetic TheoryPressure of a mixture of ideal gases Medium Question 8 of 34 in Kinetic Theory

A container of volume 200 cm$^3$ contains 0.2 mole of hydrogen gas and 0.3 mole of argon gas. The pressure of the system at temperature 200 K ($R=8.3\ JK^{-1}mol^{-1}$) will be:-

A $6.15\times10^5$ Pa
B $6.15\times10^4$ Pa
C $4.15\times10^5$ Pa
D $4.15\times10^6$ Pa

The answer is D.

Solution

$P_{mix}=\dfrac{(\mu_1+\mu_2)RT_{mix}}{V_{mix}}=\dfrac{(0.2+0.3)\times8.3\times200}{200\times10^{-6}}=\dfrac{0.5\times8.3\times200}{200\times10^{-6}}=4.15\times10^6$ Pa.

Concept Pressure of a mixture of ideal gases

Kinetic Theory in past papers

34 questions from this chapter have appeared across 19 exam years.