Masses of 10 cm^(3) of water are 9.998 g and 10 g at 0^(@)C " and " 4^(@)C respectively. Find the average coefficient of real expansion of water within the range of these temperatures.

Masses of 10 cm^(3) of water are 9.998 g and 10 g at 0^(@)C " and " 4^

1.	Masses of 10 cm^(3) of water are 9.998 g and 10 g at 0^(@)C " and " 4^(@)C respectively. Find the average coefficient of real expansion of water within the range of these temperatures.
Answer» Solution :Density of WATER at `0^(@)C,` `rho_(0)=9.998/10=0.9998gCM^(-3).` Density of water at `4^(@)C, rho_(4)=10/10=1gcm^(-3)` Therefore,the average coefficient of real expansion of water within the range of `0^(@)C " to "4^(@)C`, `GAMMA=(rho_(0)-rho_(4))/(rho_(0) times t)=(0.9998-1)/(0.9998 times (4-0))=-5 times 10^(-5@)C^(-1)` The NEGATIVE value of `gamma` indicates that water contracts when it is HEATED from `0^(@)C " to " 4^(@)C.`