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A substance having coefficient of critic...

A substance having coefficient of critical expension `4.9xx10^(-4)"^(@)C^(-1).` The fractional change in the density for therise in temperature 30 K is

A

`0.0012`

B

`0.1280`

C

`0.0235`

D

`0.0145`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `gamma=4.9xx10^(-4)""^(@)C^(-1),DeltaT=30K=30""^(@)C`
As `V'=V+DeltaV=V(1+gammaDeltaT)`
`=V(1+4.9xx10^(-4)xx30)=10147 V`
`rArr(V')/(V)=1.0147`
Now, `p=m/VrArrVprop1/p`
`thereforep'=(p-0.9855p)/(p)=0.0145`
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