3. The temperature of 1 kg of water at 0°C is increased to 50°C by first bringing it into contact with a heat bath at 25°C and then with a heat bath at 50°C. What is the change in entropy of the entire system? 4. Calculate av/E for the van der Waals energy equation of state =NET - N N (van der Waals energy equation of state) and show that a free expansion results in cooling.

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Subject: Statistical and Thermal Physics Only number 4. Please supply all the equation and solutions needed to solve for this set of problem. Thank you.
3. The temperature of 1 kg of water at 0°C is increased to 50°C by first bringing it into contact with a
heat bath at 25°C and then with a heat bath at 50°C. What is the change in entropy of the entire
system?
4. Calculate
av E
for the van der Waals energy equation of state
3
E = NkT-N
NET
kT - Na
(van der Waals energy equation of state)
and show that a free expansion results in cooling.
Transcribed Image Text:3. The temperature of 1 kg of water at 0°C is increased to 50°C by first bringing it into contact with a heat bath at 25°C and then with a heat bath at 50°C. What is the change in entropy of the entire system? 4. Calculate av E for the van der Waals energy equation of state 3 E = NkT-N NET kT - Na (van der Waals energy equation of state) and show that a free expansion results in cooling.
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