The density of water at 20^oC is 0.998 g/cm^ | vedclass

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(C) The coefficient of cubical expansion $\gamma$ is defined by the relation $\rho_2 = \rho_1 (1 - \gamma \Delta T)$,where $\rho_1$ is the density at

Vedclass · Accepted Answer

$3 	imes 10^{-4}$

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(C) The coefficient of cubical expansion $\gamma$ is defined by the relation $ho_2 = ho_1 (1 - \gamma \Delta T)$,where $ho_1$ is the density at initial temperature $T_1$ and $ho_2$ is the density at final temperature $T_2$.Given: $ho_1 = 0.998 \ g/cm^3$,$T_1 = 20^oC$,$ho_2 = 0.992 \ g/cm^3$,$T_2 = 40^oC$.Change in temperature $\Delta T = T_2 - T_1 = 40^oC - 20^oC = 20^oC$.Rearranging the formula for $\gamma$: $\gamma = \frac{ho_1 - ho_2}{ho_2 \Delta T}$.Substituting the values: $\gamma = \frac{0.998 - 0.992}{0.992 	imes 20} = \frac{0.006}{19.84} \approx 0.0003024 \approx 3 	imes 10^{-4} \ ^oC^{-1}$.

The density of water at $20^oC$ is $0.998 \ g/cm^3$ and at $40^oC$ is $0.992 \ g/cm^3$. The mean coefficient of cubical expansion (in per ${}^oC$) is

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