Chapter 21, Problem 83AP

The molar heat capacity of a diatomic molecule is $\text{29}\text{.1 J/K • mol}\text{.}$ Assuming the atmosphere contains only nitrogen gas and there is no heat loss, calculate the total heat intake (in kJ) if the atmosphere warms up by $\text{3}°\text{C}$ during the next 50 years. Given that there are $\text{1}\text{.8 }\times {\text{ 10}}^{\text{20}}$ moles of diatomic molecules present, how many kilograms of ice (at the North and South Poles) will this quantity of heat melt at $\text{o}°\text{C}$ ? (The molar heat of fusion of ice is $\text{6}\text{.01 kJ/mol}\text{.}$ )