# Thermodynamics

1. An ideal gas operates in a Carnot cycle so. that it produces a net positive work of 400joules per cycle. The maximum temperature during the cycle is 300 Â°C and the heat lost to a low temperature bath is 600 joules per cycle.

a) What must be the temperature of the low temperature bath?

b) What is the change in entropy of the gas during the isothermal expansion?

2. 10 grams of ice at 0Â°C are mixed with 100 grams of water at 30Â°C. What is the final temperature of the mixture?

3. 200 grams of ice at -20Â°C are added to 500 grams of water at +80Â°C. Assuming that no heat is lost from the ice+water system, compute how much ice remains at equilibrium.

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. An ideal gas operates in a Carnot cycle so that it produces a net positive work of 400joules per cycle. The maximum temperature during the cycle is 300 Â°C and the heat lost to a low temperature bath is 600 joules per cycle.

a) What must be the temperature of the low temperature bath?

b) What is the change in entropy of the gas during the isothermal expansion?

2.

3.

Answers:

1. a)

b)

2. When a mass of hot water is mixed with a mass of ice, the amount of heat loosed by the hot water is gained by the ice, and the final equilibrium temperature depends both on the respective initial masses and the respective initial temperatures.

3. Let us suppose that x grams of ice gets converted into water. Then (200-x) grams of ice remain at equilibrium at .

If we solve the equation we get that x = 422.22 grams which is not possible, since the total mass of ice is only 200grams. Therefore, we conclude that under the given conditions, no ice remains in equilibrium.

Â© BrainMass Inc. brainmass.com October 7, 2022, 5:15 pm ad1c9bdddf>https://brainmass.com/physics/equilibrium/thermodynamics-carnot-cycle-341623