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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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11/09/2021 11:42 am
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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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11/09/2021 11:46 am
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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