A bottle contains 82 gm of liquid of 10^(@)C. When it is heated to 35^(@)C, 2 gm of liquid is expelled. Calculate the apparent coefficient of expansion of liquid.

A bottle contains 82 gm of liquid of 10^(@)C. When it is heated to 35^

1.	A bottle contains 82 gm of liquid of 10^(@)C. When it is heated to 35^(@)C, 2 gm of liquid is expelled. Calculate the apparent coefficient of expansion of liquid.
Answer» SOLUTION :Mass of the LIQUID in the bottle `(m _(1))= 82gm,` Mass of the luquid expelled `(m _(1) - m (2))= 2 GM ` Mass of the remaining `= 82-2 =80 gm,` Initial temperature `(t _(1)) = 10^(@)C` Final temperature `(t _(2)) = 35 ^(@)C,` Coefficient of apparent expansion `gamma _(a) = (m _(1) -m _(2))/( m _(2) (t _(2) - t _(1))) = (2)/( 80 ( 35 - 10)) = (2)/( 80 xx 25) = (2)/(2000) = 0.001 //^(@)C` `therefore gamma _(a) = 0.001 //^(@)C`