1. Directions: Solve the following heat engine work done related problems. 1. During a cyclic process, a heat engine absorbs 350 J of heat from a hot reservoir, does work and ejects an amount of heat 100 J into the surroundings (cold reservoir). Calculate the efficiency of the heat engine? 2. A steam engine boiler is maintained at 250°C and water is converted into steam. This steam is used to do work and heat is ejected to the surrounding air at temperature 300K. Calculate the maximum efficiency it can have?

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Activity #8
PROBLEM SOLVING ACTIVITY: HEAT ENGINE AND ENTROPY
1. Directions: Solve the following heat engine work done related problems. 1. During a cyclic
process, a heat engine absorbs 350 J of heat from a hot reservoir, does work and ejects an
amount of heat 100 J into the surroundings (cold reservoir). Calculate the efficiency of the
heat engine? 2. A steam engine boiler is maintained at 250°C and water is converted into
steam. This steam is used to do work and heat is ejected to the surrounding air at
temperature 300K. Calculate the maximum efficiency it can have?
2. Entropy Change for the Freezing of Water
An ice tray contains 500 g of water. Calculate the change in entropy of the water as
it freezes completely and slowly at 0 oC.
2.1.
Suppose we have 1.50kg of water at a temperature of 0 degree Celsius. We put the
water in a freezer, and enough het is removed from the water to freeze it completely
to ice at a temperature of 0 degree Celsius. How much does the entropy of the water
ice system change during the freezing process?
2.2.
Let us consider the free expansion of a gas. Initially 0.500mole of nitrogen gas is
confined to a volume of 0.500 m3 . When the barrier is removed, the gas expands to
fill the new of 1.00m3. What is the change in entropy of the gas?
2.3.
Transcribed Image Text:Activity #8 PROBLEM SOLVING ACTIVITY: HEAT ENGINE AND ENTROPY 1. Directions: Solve the following heat engine work done related problems. 1. During a cyclic process, a heat engine absorbs 350 J of heat from a hot reservoir, does work and ejects an amount of heat 100 J into the surroundings (cold reservoir). Calculate the efficiency of the heat engine? 2. A steam engine boiler is maintained at 250°C and water is converted into steam. This steam is used to do work and heat is ejected to the surrounding air at temperature 300K. Calculate the maximum efficiency it can have? 2. Entropy Change for the Freezing of Water An ice tray contains 500 g of water. Calculate the change in entropy of the water as it freezes completely and slowly at 0 oC. 2.1. Suppose we have 1.50kg of water at a temperature of 0 degree Celsius. We put the water in a freezer, and enough het is removed from the water to freeze it completely to ice at a temperature of 0 degree Celsius. How much does the entropy of the water ice system change during the freezing process? 2.2. Let us consider the free expansion of a gas. Initially 0.500mole of nitrogen gas is confined to a volume of 0.500 m3 . When the barrier is removed, the gas expands to fill the new of 1.00m3. What is the change in entropy of the gas? 2.3.
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