A 1-L flask contains some mercury. It is found that at different temperature, the volume of air inside the flask remains the same. What is the volume of mercury in the flask, given that the coefficient of linear expansion of glass`=9xx10^(-6)//^(@)C` and the coefficient of volume expansion of `Hg=1.8xx10^(-4)//^(@)C` ?

Options

A. 50 cc
B. 100 cc
C. 150 cc
D. 200 cc

Answer

C

Explanation

It is given that the volume of air in the flask remains the same. This means that the expansion in volume of the vessel is exactly equal to the volume expansion of mercury.
i.e., `DeltaV_G=DeltaV_L`
r `V_Ggamma_GDeltatheta=V_Lgamma_LDeltatheta`
`:. V_L=(V_Ggamma_G)/(gamma_L)=(1000xx(3xx9xx10^-6))/(1.8xx10^-4)=150 c c`