A glass container of volume V contains some mercury. The coefficients of cubical expansion for glass and mercury are gamma_g and gamma_m , respectively. If the volume of air inside the flask remains constant at different temperature, then the volume of mercury in the flask is

A glass container of volume V contains some mercury. The coefficients

1.	A glass container of volume V contains some mercury. The coefficients of cubical expansion for glass and mercury are gamma_g and gamma_m , respectively. If the volume of air inside the flask remains constant at different temperature, then the volume of mercury in the flask is
Answer» `(gamma_m V)/(gamma_g)` `(gamma_g V)/(gamma_m)` `(1 - (gamma_m)/(gamma_g) ) V ` `(1 - (gamma_g)/(gamma_m) ) V` Solution :If V. is the volume of MERCURY in the container, then volume EXPANSION of the container must be exactly equal to the expansion of mercury as volume of air in the container REMAINS constant. ` therefore V gamma_g DeltaT = V. gamma_m DELTA T` ` RARR V. = (V gamma_g)/(gamma_m)`