Exam 18: The Laws of Thermodynamics

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An ideal Carnot engine is operated as a heat pump to heat a room in the winter.The heat pump delivers heat to the room at the rate of 47 kJ per second and maintains the room at a temperature of 293 K when the outside temperature is 237 K.The power requirement to run the heat pump under these operating conditions is closest to

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A sealed 87- A sealed 87-   Tank is filled with 6,000 moles of ideal oxygen gas O<sub>2</sub> at an initial temperature of 270 K.The gas is heated to a final temperature of 460 K.The atomic mass of oxygen is 16.0 g/mol.How much heat is transferred to the gas during this process? (R = 8.31 J/mol ∙ K) Tank is filled with 6,000 moles of ideal oxygen gas O2 at an initial temperature of 270 K.The gas is heated to a final temperature of 460 K.The atomic mass of oxygen is 16.0 g/mol.How much heat is transferred to the gas during this process? (R = 8.31 J/mol ∙ K)

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The figure shows a pV diagram for 2.6 g of ideal helium gas that undergoes the process 1 → 2 → 3.Find the value of volume V3.The atomic mass of helium is 4.0 g/mol,and R = 8.31 J/mol ∙ K. The figure shows a pV diagram for 2.6 g of ideal helium gas that undergoes the process 1 → 2 → 3.Find the value of volume V<sub>3</sub>.The atomic mass of helium is 4.0 g/mol,and R = 8.31 J/mol ∙ K.

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How much heat is required to raise the temperature of 2.00 moles of an ideal monatomic gas by 10°C at constant volume? (R = 8.31 J/mol ∙ K).

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Suppose that the Department of Energy develops a new reversible engine that has a coefficient of performance (COP)of 4.0 when operated as a refrigerator and a COP of 5.0 when operated as a heat pump.What is its thermal efficiency when operated as a heat engine doing work?

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For an ideal gas,

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A heat engine receives 7000 J of heat and loses 3000 J in each cycle.What is the efficiency of this engine?

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An ideal Carnot engine operates between a high temperature reservoir at An ideal Carnot engine operates between a high temperature reservoir at   And a river with water at   If it absorbs   Of heat each cycle,how much work per cycle does it perform? And a river with water at An ideal Carnot engine operates between a high temperature reservoir at   And a river with water at   If it absorbs   Of heat each cycle,how much work per cycle does it perform? If it absorbs An ideal Carnot engine operates between a high temperature reservoir at   And a river with water at   If it absorbs   Of heat each cycle,how much work per cycle does it perform? Of heat each cycle,how much work per cycle does it perform?

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An ideal gas undergoes the process a→b→c→a shown in the pV diagram.In this figure,Pa = Pc = 3.60 × 105 Pa,Vb = Vc = 68.00 L,Va = 35 L,and Pb = 5.60 × 105 Pa.How much work is done by the system in this process? An ideal gas undergoes the process a→b→c→a shown in the pV diagram.In this figure,P<sub>a</sub> = P<sub>c</sub> = 3.60 × 10<sup>5</sup> Pa,V<sub>b</sub> = V<sub>c</sub> = 68.00 L,V<sub>a</sub> = 35 L,and P<sub>b</sub> = 5.60 × 10<sup>5</sup> Pa.How much work is done by the system in this process?

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In an adiabatic compression,200 J of work is done on a gas.What is the change in internal (thermal)energy of the gas during this compression?

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Which of the following is a false statement?

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How much heat is required to increase the temperature of 1.70 moles of an ideal monatomic gas by 23.0 K at constant pressure? (R = 8.31 J/mol ∙ K)

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An ideal Carnot engine operating between a warm reservoir of unknown temperature and a cold reservoir at An ideal Carnot engine operating between a warm reservoir of unknown temperature and a cold reservoir at   Has an efficiency of   What is the temperature of the warm reservoir? Has an efficiency of An ideal Carnot engine operating between a warm reservoir of unknown temperature and a cold reservoir at   Has an efficiency of   What is the temperature of the warm reservoir? What is the temperature of the warm reservoir?

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The figure shows a pV diagram for 2.9 g of ideal oxygen gas O2 in a sealed container.The temperature of state 1 is 76° C,the atomic mass of the oxygen atom is 16 g/mol,and R = 8.31 J/mol ∙ K.What are the temperatures T3 and T4? The figure shows a pV diagram for 2.9 g of ideal oxygen gas O<sub>2</sub> in a sealed container.The temperature of state 1 is 76° C,the atomic mass of the oxygen atom is 16 g/mol,and R = 8.31 J/mol ∙ K.What are the temperatures T<sub>3</sub> and T<sub>4</sub>?

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An ideal Carnot refrigerator with a performance coefficient (COP)of 5.0 cools items inside of it to An ideal Carnot refrigerator with a performance coefficient (COP)of 5.0 cools items inside of it to   What is the high temperature needed to operate this refrigerator? What is the high temperature needed to operate this refrigerator?

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The second law of thermodynamics leads us to conclude that

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An ideal gas undergoes an adiabatic process while doing 25 J of work.What is the change in the internal (thermal)energy of the gas?

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A certain heat engine extracts 1.30 kJ of heat from a hot temperature reservoir and discharges 0.70 kJ of heat to a cold temperature reservoir.What is the efficiency of this engine?

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In an isochoric process,the internal (thermal)energy of a gas decreases by 50 J.How much work is done by the gas during this process?

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The "hot shot" heat engine operating between 40°C and 380°C has an efficiency that is 60% of that of an ideal Carnot engine operating between the same temperatures.If the "hot shot" engine absorbs heat at a rate of 60 kW,at what rate does it exhaust heat?

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