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# a cylinder contains nitrogen at 27 degrees Celsius. a piston compresses the gas to ha Watch

1. a cylinder contains nitrogen at 27 degrees Celsius. a piston compresses the gas to half is original volume. the cylinder is then cooled so that its pressure returns to its original value. calculate the temperature of the gas in K and in Celsius.

T= 27 degrees
(p1xv1)/T1 = (p2xv2)/T2

V1/27 = (V1 X 0.5)/ t2

v1t2=v1 x 0.5 x 27

v1/v2 t2 = 0.5 x 27
t2 = 13.5 degrees
= 286.65 k

The answer is supposed to be 150 k, -123 degrees. please can you help me?
2. (Original post by AHungryCaterpillar)
a cylinder contains nitrogen at 27 degrees Celsius. a piston compresses the gas to half is original volume. the cylinder is then cooled so that its pressure returns to its original value. calculate the temperature of the gas in K and in Celsius.

T= 27 degrees
(p1xv1)/T1 = (p2xv2)/T2

V1/27 = (V1 X 0.5)/ t2

v1t2=v1 x 0.5 x 27

v1/v2 t2 = 0.5 x 27
t2 = 13.5 degrees
= 286.65 k

The answer is supposed to be 150 k, -123 degrees. please can you help me?
T is the temperature in kelvin. I think that is where you've gone wrong. Instead of 27celsius, T1 should be 300kelvin (as 0C is 273K).

3. Temperature must be in Kelvins. I used 300K and got 150K as the answer.

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