1.

An ideal gas is initiaily at temperature T and volumoeV. lts volume is increased by Delta V due to an increase in temperature Delta T, pressure remaining constant. The quantity k = AV//(V Delta T) varies with temperature as:

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Solution :For ideal gas `PV=nRT`
At const. pressure.
`Pdv =nRdT`
`(dV)/(dT) =(NR)/(P)`
`AB.P =(nRT)/(V)`
`therefore (dV)/(dT) =(nR)/(nRT) cdot V`
`rArr (1)/(V) cdot (dV)/(dT) =(1)/(T)`
`rArr k=(1)/(T) rArr k prop (1)/(T)`
THUS, CORRECT choice is (c ).


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