The volume of a liquid at `10^(@)C` is 50 c.c. Find its volume at `100^(@)C`?
(`gamma_(R)` of liquid is `7xx10^(-4)//""^(@)C`).

Explanation

Initial volume of the liquid `(v _(1)) = 50 ` c.c
Initial temperature `(t _(1) ^(@)C) = 10 ^(@)C:`Final temperature `(t _(2) ^(@) C) = 100^(@) C`
Coefficient of real expansion of the liquid
`(gamma _(R )) = 7 xx 10 ^(-4) //^(@)C ` from `v _(2) = v _(1) [1 + gamma _(R) (t _(2) - t _(1)) ]`
`= 50 [ 1+ 7 xx 100 ^(-4) xx 90] = 53.1 5 cm ^(3)`
`therefore v _(2) = 53.15 cm ^(3)`
Volume of liquid at `100^(@)C=53.15 cm ^(3)`