The coefficient of volume expansion of glycerine is `49 xx 10^(-5)//^(@)C`. What is the fractional change in its density (approx.) for `30^(@)C` rise in temperature?

Options

A. `1.5xx10^(-2)`
B. `2.5xx10^(-2)`
C. `2.0xx10^(-2)`
D. `2.8xx10^(-2)`

Answer

A

Explanation

Given, coefficient of volume expansion `gamma =49xx10^(-5)C^(-1)` Temperature `T= 30^(@)C` Let `p_(o)` its density at `0^(@)C, P_(t)` its density at `t^(@)C.`
`therefore` Fractional change in density,
`(P_(o)-Pt)/(P_(o))=gammaDeltaT=49xx10^(-5)xx30`
`=0.0147`
=`1.5xx10^(-2)`