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

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

When a gas is compressed under adiabatic conditions, its pressure increases and its temperature rises without the gain or loss of any heat. Conversely, when a gas expands under adiabatic conditions, its pressure and temperature both decrease without the gain or loss of heat.temperature of the magma would have no change at source, i.e 1200 degree c.

ID: 230448 • Letter: 3

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

When a gas is compressed under adiabatic conditions, its pressure increases and its temperature rises without the gain or loss of any heat. Conversely, when a gas expands under adiabatic conditions, its pressure and temperature both decrease without the gain or loss of heat.temperature of the magma would have no change at source, i.e 1200 degree c.

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

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