Ideal Gas Pressure – Rankers Physics

Kinetic Theory of Gases: Practice Problem & Solution

A container of volume \(200 \text{cm}^3\) contains 0.2 mole of hydrogen gas and 0.3 mole of argon gas. The pressure of the system at temperature 200 K (\(R = 8.3 \text{J} \text{K}^{-1} \text{mol}^{-1}\)) will be
\(4.15 \times 10^5 \text{Pa}\)
\(4.15 \times 10^6 \text{Pa}\)
\(6.15 \times 10^5 \text{Pa}\)
\(6.15 \times 10^4 \text{Pa}\)

Solution Explained:

To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:

Total moles \(n = 0.2 + 0.3 = 0.5\). Using \(P = \frac{nRT}{V} = \frac{0.5 \times 8.3 \times 200}{200 \times 10^{-6}} = 4.15 \times 10^6 \text{Pa}\).

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