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A compressed cylinder of gas contains 1.50 × 10^3 g of N2 gas at a pressure of 2.0 ×10^7 Pa and a temperature of 17.1°C.

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A compressed cylinder of gas contains 1.50 × 103 g of N2 gas at a pressure of 2.0 ×107 Pa and a temperature of 17.1°C. What volume of gas has been released into the atmosphere if the final pressure in the cylinder is 1.80 ×105 Pa? Assume ideal behaviour and that the gas temperature is unchanged.

(a) 1264 L

(b) 126 L

(c) 12600 L

(d) 45 L

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Correct answer: (a) 1264 L

Explanation:

nN2 = 53.57 mole

\(\frac{P_1}{P_2}\) = \(\frac{n_1}{n_2}\)

n2 = \(\frac{1.8}{200}\)

= 0.009 x 53.57 = 0.48213

nN2 escape = 53.087

Volume = \(\frac{nRT}{P}\) = 1264 L

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