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The coefficient of volume expansion of a...

The coefficient of volume expansion of a liquid is `4.9xx10^(-4)K^(-1)`. Calculate the fractional change in its density when the temperature is raised by `30^(@)C`.

A

`7.5 xx 10^(-2)`

B

`3.0 xx 10^(-2)`

C

`1.5 xx 10^(-2)`

D

`1.1 xx 10^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`gamma = 49 xx 10^(-5) K^(-1)`
`rho . = (rho)/(1 + gamma Delta theta) = (rho)/(1 + 49 xx 10^(-5) xx 30)`
Fractional change -
`(1 - (porp.)/(rho)) = (1- (1)/(1 + 49 xx 10^(-5) xx 30))`
`=0.0145 ~~ 1.5 xx 10^(-2)`
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