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If the absolute temperature of a gas is ...

If the absolute temperature of a gas is doubled and the pressure is reduced to one half, the volume of the gas will.

A

remain unchanged

B

be doubled

C

increase four fold

D

be halved

Text Solution

Verified by Experts

The correct Answer is:
C
For a gas
` (P_1V_1)/(T_1) = (P_2V_2)/(T_2) ( " where" T_2 = 2T_1, P_2 =(1)/(2) P_1,V_2= ?) `
`(P_1V_1)/(T_1) = (1)/(2) (P_1xxV_2)/(2T_1) `
` V_1 = (V_2)/(4)`
` therefore " " V_2 = 4V_1`
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