## Thermodynamics, Numerical Problems

NoProblem description
Problem 1Water at 200 C falls from a height of 854 meters. If the whole energy used in increasing the temperature, find out the final temperature. Specific heat of water is 4200 Jk-1 Kg-1.
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Problem 225200 J of heat is supplied to the system while the system does 6000 J of work. Calculate the change in the internal energy of the system.
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Problem 3A sample of ideal gas is uniformly heated at constant pressure. If the amount of 180 J of heat is supplied to the gas, calculate the change in the internal energy of the gas and work done by the gas. Given that γ = 1.41.
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Problem 4Find the efficiency of a Carnot heat engine working between the steam and ice points.
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Problem 5A Carnot engine absorbs 2000 J of heat from the source of heat engine at 2270C = 500 K and rejects 1200 J of heat during each cycle to sink. Calculate efficiency of heat engine, temperature of sink and amount of work done during each cycle.
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Problem 6What is the least amount of work that must be performed to freeze one gram of water at 00C by means of refrigerator? Take the temperature of the surrounding as 370C. How much heat is passed on to the surrounding during this process?
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Problem 7Calculate the change in entropy when10 kg of water is heated from 900 C to 1000 C.
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Problem 8A system absorbs 1176 J of heat and at the same time does 352.8 J of external work. Find the change in internal energy of the system. Find the change in internal energy of the system when it absorbs 1050 J of heat while 84 J of work is done. What will be the change in internal energy of the gas if 210 J of heat is removed at constant volume?
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Problem 9An ideal gas at 20.0° C and a pressure of 1.50 × 105 Pa is in a container having a volume of 1.00 L. (a) Determine the number of moles of gas in the container. (b) The gas pushes against a piston, expanding to twice its original volume, while the pressure falls to atmospheric pressure. Find the final temperature.
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Problem 10A block of ice at 273 K is put in thermal contact with a container of steam at 373 K, converting 25.0 g of ice to water at 273 K while condensing some of the steam to water at 373 K. (a) Find the change in entropy of the ice. (b) Find the change in entropy of the steam. (c) Find the change in entropy of the universe.
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