3. A typical eruption temperature of basaltic magma is about 1200°C. Assuming th

Question

3. A typical eruption temperature of basaltic magma is about 1200°C. Assuming that the basaltic magma traveled from its source region in the mantle quickly enough that there is negligible heat lost to the wall rocks (adiabatically) and the magma originated at a depth of 40 km, calculate the temperature of the magma at its source.

Data

CP of magma =850 J/kg×K

Density of magma at 1200°C = 2.61 gm/cc

Coefficient of thermal expansion a @ 10-4/K

Pressure gradient 1km = 33 MPa

Surface pressure = 0.1 MPa

Explanation / Answer

Since there is no heat loss, the temperature of formation of the magma will be 1200°C.

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