2. The lowest temperature measured on the surface of a planetary body in the sol

Question

2. The lowest temperature measured on the surface of a planetary body in the solar system is that of Triton, the largest of Neptune's moons. The surface temperature on this distant moon can reach a low of -235°C. Suppose an astronaut brings a water bottle containing 0.500 kg of water to Triton. The water's temperature decreases until the water freezes, then the temperature of the ice decreases until it is in thermal equilibrium with Triton at a tem- perature of -235°C. If the energy transferred by heat from the water to Tri- ton is 471 kJ, what is the value of the water's initial temperature?

Explanation / Answer

Qtransferred = QTf --> 0+ Qphase transfer + Q0--> -235

Qtransferred = mc(Tf - Ti) + mLf + mc(Tf - Ti)

471*10^3 = 0.500*4185.5*(Ti - 0) + 0.500*3.33*10^5 + 0.500*2108*(235-0)

Ti = 27.15 oC

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