Imagine that a drilling technology had existed, enabling us to drill a hole in the ground up to 150 km deep. This would allow us to easily access molten rocks, also known as magma. Due to a temperature difference between magma and the earth's surface of 25°C, a new Carnot engine utilizing magma as the heat carrier could potentially be developed to generate energy.
a) The volume of magma is determined to be 45 L.
b) Which engine is more efficient: the new Carnot engine described in (a), or a traditional steam engine? Explain why.
c) Based on the result in (a), comment on the scalability of the new Carnot engine.