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Worksheet: Entropy Change in a Thermodynamic Process

Q1:

Fifty grams of water at are changed into vapor at . What is the change in entropy of the water in this process?

Q2:

joules of heat is removed from a heat reservoir at a temperature of K. What is the entropy change of the reservoir?

Q3:

A system consisting of 20.0 mol of a monoatomic ideal gas is cooled at constant pressure from a volume of 50.0 L to a volume of 10.0 L. The initial temperature of the gas was 300 K. What is the change in entropy of the gas?

Q4:

An ideal gas at a temperature of K is compressed isothermally to a volume that is 0.20 times its initial volume. Determine the entropy change per mole of the gas.

Q5:

A 2.00 × 102-g mass of water at a temperature of is brought into thermal equilibrium successively with reservoirs at , , , and . Use a value of for the specific heat capacity of water.

What is the entropy change of the water?

What is the entropy change of the reservoirs?

What is the entropy change of the universe?

Q6:

A Carnot engine operates between baths with temperatures of and , and extracts 300 kJ of energy in each cycle.

Find the change in entropy of the hot bath in each Carnot cycle.

Find the change in entropy of the cold bath in each Carnot cycle.

Q7:

A copper rod of cross-sectional area 5.0 cm2 and length 5.0 m conducts heat from a heat reservoir at 373 K to one at 273 K. What is the time rate of change of the universe’s entropy for this process? Use a value of 385 W/m⋅K for the thermal conductivity of copper.

  • A W/K
  • B W/K
  • C W/K
  • D W/K
  • E W/K

Q8:

A piece of aluminum of mass 0.50 kg is at a temperature of . The aluminum is dropped into a 1.0 kg mass of water that is at a temperature of . After equilibrium is reached, what is the net entropy change of the system? Use a value of as the specific heat capacity of water and a value of as the specific heat capacity of aluminum.

Q9:

A 200-g-mass of water a temperature of is brought into contact with a heat reservoir at a temperature of , and thermal equilibrium is reached. Use a value of for the specific heat capacity of water.

What is the temperature of the water?

What is the temperature of the reservoir?

How much heat has been transferred in the process?

  • A
  • B
  • C J
  • D
  • E

What is the entropy change of the water?

What is the entropy change of reservoir?

What is the entropy change of the universe?