Homework 6 Problem 3: The core of the Sun has a temperature of 1.5 × 107 K, while the surface of the Sun has a temperature of 5320 K (which varies over the surface, with the sunspots being cooler). Treat the core of the Sun and the surface of the Sun as two large reservoirs connected by the solar interior. Nuclear fusion processes in the core produce 3.8 × 1026 J every second. Assume that 100% of this energy is transferred from the core to the surface. Part (a) Calculate the change in the entropy ΔS, in joules per kelvin, of the Sun every second. ΔSS = ______ Part (b) Rigel is a blue giant star with a core temperature of 5.0 x 107 K and a surface temperature of 10400 K. If the core of Rigel produces 60,000 times as much energy per second as the core of the Sun does, calculate the change in the entropy ΔSR, in joules per kelvin, of Rigel every second. ΔSR = ______ Part (c) Barnard’s Star is a red dwarf star with a core temperature of 7.0 x 106 K and a surface temperature of 3820 K. If the core of Barnard’s Star produces 5% as much energy per second as the core of the Sun does, calculate the change in the entropy ΔSB, in joules per kelvin, of Barnard’s Star every second. ΔSB = ______
Homework 6
Problem 3: The core of the Sun has a temperature of 1.5 × 107 K, while the surface of the Sun has a temperature of 5320 K (which varies over the surface, with the sunspots being cooler). Treat the core of the Sun and the surface of the Sun as two large reservoirs connected by the solar interior. Nuclear fusion processes in the core produce 3.8 × 1026 J every second. Assume that 100% of this energy is transferred from the core to the surface.
Part (a) Calculate the change in the entropy ΔS, in joules per kelvin, of the Sun every second.
ΔSS = ______
Part (b) Rigel is a blue giant star with a core temperature of 5.0 x 107 K and a surface temperature of 10400 K. If the core of Rigel produces 60,000 times as much energy per second as the core of the Sun does, calculate the change in the entropy ΔSR, in joules per kelvin, of Rigel every second.
ΔSR = ______
Part (c) Barnard’s Star is a red dwarf star with a core temperature of 7.0 x 106 K and a surface temperature of 3820 K. If the core of Barnard’s Star produces 5% as much energy per second as the core of the Sun does, calculate the change in the entropy ΔSB, in joules per kelvin, of Barnard’s Star every second.
ΔSB = ______
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