Question
A body weighs W1at 0°C and W2 at θ°C in a liquid. If ρ0 and σ0 be the densities of the body and liquid at 0°C and γb and γL be the coefficients of expansions of body and liquid respectively and γb < γL then which is greater: W1 or W2?
Solution
Consider a body of volume V0 at 0°C.
Since ρ0 and σ0 are the densities of body and liquid at zero degree Celsius, then weight of body in liquid at 0°C is,
If the temperature of system is increased, the volume of body increases and densities of body and liquid decrease, given by
Therefore,
At temperature θ, the weight of body in liquid is,
That is,
Since ρ0 and σ0 are the densities of body and liquid at zero degree Celsius, then weight of body in liquid at 0°C is,
If the temperature of system is increased, the volume of body increases and densities of body and liquid decrease, given by
Therefore,
At temperature θ, the weight of body in liquid is,
That is,
