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Question: The temperature of a gas at pressure P and volume V is 27°C. Keeping its volume constant if its temp...

The temperature of a gas at pressure P and volume V is 27°C. Keeping its volume constant if its temperature is raised to 927°C, then its pressure will be

A

2 P

B

3 P

C

4 P

D

6 P

Answer

4 P

Explanation

Solution

Using Charle’s law P1P2=T1T2\frac{P_{1}}{P_{2}} = \frac{T_{1}}{T_{2}}

or P2=P1T2T1=P(273+927)(273+27)P_{2} = \frac{P_{1}T_{2}}{T_{1}} = \frac{P(273 + 927)}{(273 + 27)} = 4P.