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A compressor takes 0.50 m3 of a gas at 33°C and 760 mmHg and compresses it to 0.10 m3, cooling it to -55°C at the same time. What is the pressure of the gas at these new conditions?

A.3.7 x 10-4 mmHg
B.68 mmHg
C.2,700 mmHg
D.1.0 mmHg

1 Answer

5 votes

Answer is C.

Converting temperatures to degrees K: 33 degrees C = 306 K and -55 = 218 degrees K.

By the ideal gas law:-

760 * 0.50 / 306 = P * 0.10 / 218

P = 760 * 0.50 * 218 / 306 * 0.10

= 2700 mm Hg answer

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