Question

Ice-water mass ratio is maintained as 1 : 1 in a given system containing water in equilibrium with ice at constant pressure. If $C_P\left(ice\right)=C_P\left(water\right)=4.18Jmo{l}^{-1}{K}^{-1}$ molar heat capacity of such a system is

• A. Zero
• B. Infinity
• C. $4.182J{K}^{-1}mo{l}^{-1}$
• D. $75.48J{K}^{-1}mo{l}^{-1}$

Answer 1

The correct option is B Infinity

The molar heat capacity is the amount of heat required to increase the temperature of one mole of a substance by one degree.If some finite heat is supplied, the ice would melt to water, without any change in temperature. So the molar heat capacity = $\frac{Heatsupplied}{0}$ = Infinity.