The density of water at `0^@C` is `0.998 g cm^(-3)` at `4^@C` is `1.00 g cm^(-3)`. Calculate the average coefficient of volume expansion of water in the temperature range `0^@C` to `4^@C`.

Explanation

`f_0^0C=0.998 g/cm^3`
`f_4^0C=1g/cm^3`
we know, `f_0^0C = f_4^0C/1+gamma Delta t`
`rArr 0.998=1/1+gamma.4`
`rArr 1+4 gamma =1/0.998`
`rArr 4 gamma=(1/0.998)-1`
`rArr gamma= 0.0005=5xx 10^-4`
As density decreases
`gamma =-5 xx 10^-4`