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Solved: The molar heat capacity of a diatomic molecule is
Chapter 20, Problem 41P(choose chapter or problem)
The molar heat capacity of a diatomic molecule is \(29.1\mathrm{\ J}/\mathrm{K}\cdot\mathrm{mol}\). Assuming the atmosphere contains only nitrogen gas and there is no heat loss, calculate the total heat intake (in kilojoules) if the atmosphere warms up by \(3^{\circ} \mathrm{C}\) during the next 50 yr. Given that there are \(1.8 \times 10^{20}\) moles of diatomic molecules present, how many kilograms of ice at the North and South Poles) will this quantity of heat melt at \(0^{\circ} \mathrm{C}\)? (The molar heat of fusion of ice is 6.01 kJ/mol.)
Questions & Answers
QUESTION:
The molar heat capacity of a diatomic molecule is \(29.1\mathrm{\ J}/\mathrm{K}\cdot\mathrm{mol}\). Assuming the atmosphere contains only nitrogen gas and there is no heat loss, calculate the total heat intake (in kilojoules) if the atmosphere warms up by \(3^{\circ} \mathrm{C}\) during the next 50 yr. Given that there are \(1.8 \times 10^{20}\) moles of diatomic molecules present, how many kilograms of ice at the North and South Poles) will this quantity of heat melt at \(0^{\circ} \mathrm{C}\)? (The molar heat of fusion of ice is 6.01 kJ/mol.)
ANSWER:Step 1 of 4
We need to calculate the amount of heat absorbed. We also need to calculate the mass of ice that gets melted by the absorbed heat.
We know that
The molar heat capacity of diatomic molecule is
