Exam 18: Heat and the First Law of Thermodynamics

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Use the following to answer question : Use the following to answer question :   -Heat is added to a substance at a constant rate. The substance starts as a solid and is melted; the liquid is heated and vaporized; finally, the vapor is heated at constant volume. This process is shown in the graph. The specific heat at constant volume of the vapor can be found by -Heat is added to a substance at a constant rate. The substance starts as a solid and is melted; the liquid is heated and vaporized; finally, the vapor is heated at constant volume. This process is shown in the graph. The specific heat at constant volume of the vapor can be found by

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Use the following to answer question :  Use the following to answer question :   -One mole of an ideal gas ( \gamma  = 5/3) expands adiabatically and quasistatically from a pressure P<sub>1</sub> = 3 atm and a temperature of 30ºC to a pressure P<sub>2</sub> = 1 atm. How much work is done by the gas during this process? R = 8.314 J/mol·K = 8.206 L·atm/mol·K. -One mole of an ideal gas ( γ\gamma = 5/3) expands adiabatically and quasistatically from a pressure P1 = 3 atm and a temperature of 30ºC to a pressure P2 = 1 atm. How much work is done by the gas during this process? R = 8.314 J/mol·K = 8.206 L·atm/mol·K.

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Use the following to answer question : Use the following to answer question :   -Heat is added to a substance at a constant rate. The substance starts as a solid and is melted; the liquid is heated and vaporized; finally, the vapor is heated. This process is shown in the graph. The specific heat of the solid can be found by -Heat is added to a substance at a constant rate. The substance starts as a solid and is melted; the liquid is heated and vaporized; finally, the vapor is heated. This process is shown in the graph. The specific heat of the solid can be found by

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If the heat capacities of both ice and steam are 0.5 cal/g · Cº, the quantity of heat required to change 1 g of ice at -10ºC to steam at 120ºC is approximately

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    An ideal gas undergoes a cyclic expansion and compression along the path a \to b \to c \to a as shown above. The work done along c \to a of the cycle is the area An ideal gas undergoes a cyclic expansion and compression along the path a →\to b →\to c →\to a as shown above. The work done along c →\to a of the cycle is the area

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A 1.0-kg piece of marble at 100ºC is dropped into 2.5 kg of water at 1.0ºC and the resulting temperature is 7.0ºC. The specific heat of the marble is approximately

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Use the following to answer question : Use the following to answer question :   -An ideal gas initially at 100ºC and pressure P<sub>1</sub> = 250 kPa occupies a volume V<sub>1</sub> = 4.5 L. It undergoes a quasistatic, isothermal expansion until its pressure is reduced to 150 kPa. How much does the internal energy of the gas change during this process? R = 8.314 J/mol·K = 8.206 L·atm/mol·K. -An ideal gas initially at 100ºC and pressure P1 = 250 kPa occupies a volume V1 = 4.5 L. It undergoes a quasistatic, isothermal expansion until its pressure is reduced to 150 kPa. How much does the internal energy of the gas change during this process? R = 8.314 J/mol·K = 8.206 L·atm/mol·K.

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  The work done by a gas on a piston can be obtained from the graph, provided the abscissa represents the The work done by a gas on a piston can be obtained from the graph, provided the abscissa represents the

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During a certain thermodynamic process, 418 J of work are done on a system and 214 cal of heat are transferred to the system. The change in internal energy during the process is

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  The diagram above show the state of an ideal gas going from (V<sub>1</sub>,P<sub>1</sub>) to a final state. Which path best represents adiabatic expansion? The diagram above show the state of an ideal gas going from (V1,P1) to a final state. Which path best represents adiabatic expansion?

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A container contains a 200 mL of 100% proof alcohol (i.e., it has 50% ethyl alcohol and 50% water by volume) at 20 ∘\circ C. How much heat is needed to bring the mixture to the boiling point of the alcohol? (assume that the specific heat in the 100% proof can be treated as due to the alcohol and water separately, and the density, boiling point and specific heat of alcohol are 0.81 g/cm3, 78 ∘\circ C, and 2.4 J/(g.C ∘\circ ), respectively)

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The specific heat of a substance is a measure of

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In a certain thermodynamic process, 1000 cal of heat are added to a gas confined in a cylinder. At the same time, 1000 J of work are done by the gas as it expands. The increase in internal energy of the gas is

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Use the following to answer question : Use the following to answer question :   -An ideal gas initially at 50ºC and pressure P<sub>1</sub> = 100 kPa occupies a volume V<sub>1</sub> = 3 L. It undergoes a quasistatic, isothermal expansion until its pressure is reduced to 50 kPa. How much heat enters the gas during this process? R = 8.314 J/mol·K = 8.206 L·atm/mol·K. -An ideal gas initially at 50ºC and pressure P1 = 100 kPa occupies a volume V1 = 3 L. It undergoes a quasistatic, isothermal expansion until its pressure is reduced to 50 kPa. How much heat enters the gas during this process? R = 8.314 J/mol·K = 8.206 L·atm/mol·K.

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A system has a heat capacity of 100 J. This means

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  A reversible heat engine has the PV graph shown. The net work performed in one cycle is approximately A reversible heat engine has the PV graph shown. The net work performed in one cycle is approximately

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An ideal monatomic gas has a molar heat capacity Cmp at constant pressure. What is the molar heat capacity at constant volume of an ideal diatomic gas?

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The first law of thermodynamics is most closely related to

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Use the following to answer question : Use the following to answer question :   -The graph shows the temperature of a 1.0-g sample of material as heat is added to it. The material is initially a solid at 10ºC. The pressure remains constant, and there is no chemical change. The heat of fusion of the material is -The graph shows the temperature of a 1.0-g sample of material as heat is added to it. The material is initially a solid at 10ºC. The pressure remains constant, and there is no chemical change. The heat of fusion of the material is

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For most metals, the heat capacity goes as C = γ\gamma T + AT3 at low temperatures (~ 100 K), whereas insulators only has the T3 term. Both γ\gamma and A are constants. The two terms in the expression for C suggests

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