Question
The Kilauea volcano in Hawaii is the world’s most active, disgorging about $5 \times 10^5 \textrm{ m}^3$ of $1200 ^\circ\textrm{C}$ lava per day. What is the rate of heat transfer out of Earth by convection if this lava has a density of $2700 \textrm{ kg/m}^3$ and eventually cools to $30^\circ\textrm{C}$? Assume that the specific heat of lava is the same as that of granite.
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$2 \times 10^{10} \textrm{ W}$

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