# Question & Answer: A sample of gas in a 32.1 L container is initially at 15°C and 667 mmHg. If the pressure…..

A sample of gas in a 32.1 L container is initially at 15°C and 667 mmHg. If the pressure is reduced to 427 mmHg and the temperature is increased to 81°C, what is the final volume? Add 273 to convert to Kelvin. Report your answer in liters to three significant figures.

This is ideal gas law ratios, we can relate 2 states via:

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Question & Answer: A sample of gas in a 32.1 L container is initially at 15°C and 667 mmHg. If the pressure…..
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P1V1/T1 = P2V2/T2

since the ratios are kept

we need absolute pressure, temperature and volume

so

V1 = 32.1 L, T1 = 15 C = 15+ 273 K = 288 K, P1 = 667 mm Hg

V2 = X L, T2 = 81 C = 81 + 273 K = 354 K, P2 = 427 mm Hg

substitute

32.1*667/288 = 427*V2/354

V2 = 32.1*667/288 * 354 / 427

V2 = 61.63306 L

3 sig fig = 61.6 liters

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