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The coefficient of thermal expansion, al...

The coefficient of thermal expansion, `alpha` , is nearly constant for a liquid `alpha=(1)/(V)((dV)/(dT))_(P)`
At `293K` and `1atm` for water `alpha=2.1K^(-1)`
What is the approximate work done when `1` mole of liquid is heated from `288K` at `1` atm? Molar volume of liquid `=18m` ?

A

`-78.25KJ`

B

`78.15J`

C

`-37.8J`

D

`-83.14J`

Text Solution

Verified by Experts

The correct Answer is:
C
`dV=alphaVdT`
`DeltaW=-intPdV=-alphaVxxP int_(T_(1))^(T_(2))dT`
or `DeltaW=-2.1xx18xx10^(-6)xx10^(5)xx10J`
or `DeltaW=-2.1xx18J`
or `Delta=-37.8J`
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