1736

Physics Heat & Thermodynamics Level: High School

If n moles of an ideal gas are compressed isothermally from an initial volume V1 to a final volume V2 , the change in entropy is

a) nR In (V2/V1)

b) nRT In (V2/V1

c) nk In (V2/V1)

d) nCv/T

a) nR In (V2/V1)



1735

Physics Heat & Thermodynamics Level: High School

The relation PV = nRT holds for all ideal gases . The additional relation (PV = constant ) holds for an adiabatic process . The figure below shows two curves : one is an adiabat and the other is an isotherm . Each starts at the same pressure and volume . Which statement is correct ( Note : ‘tidel’ means is proportional to.)

a) Isotherm : P tidel 1/V ; Adiabet : P tidel 1/V; B is both isotherm and an adiabet .

b) Isotherm : P tidel 1/V ; Adiabat : P tidel 1/V ; A is an isotherm , B is an adiabat .

c) Isotherm : P tidel 1/V ; Adiabat : P tidel 1/V ; B is an isotherm , A is an adiabat .

d) Isotherm : P tidel 1/V; Adiabat : P tidel 1/V; A is both an isotherm and an adiatbat .

e) Cannot answer this without additional information about the starting temperature .




1734

Physics Heat & Thermodynamics Level: High School

A molecule in a uniform ideal gas can collide with other molecules when their center are equal to or less than :

a) One radius away from center .

b) One diameter away from center .

c) Two diameter away from its center .

d) Twice the cube root of volume away from its center .

e) Sqrt 3 diameters away from its center .

One diameter away from center .



1733

Physics Heat & Thermodynamics Level: High School

Assume 3 moles of a diatomic gas has an internal energy of 10 kJ . Determine the temperature of the gas after it has reached equilibrium .



1728

Physics Heat & Thermodynamics Level: High School

An engine absorbs 1700 J from a hot reservoir and expels 1200 J to a cold reservoir in each cycle .

a) What is the engine’s efficiency ?

b) How much work is done in each cycle ?

c) What is the power output of the engine if each cycle lasts for 0.300 s ?




1727

Physics Heat & Thermodynamics Level: High School

A heat engine operates between two reservoirs at temperatures of 20 degrees C and 300 degrees C . What is the maximum efficiency possible for this engine ?



1726

Physics Heat & Thermodynamics Level: High School

A 5.0 kg block of aluminum is heated from 20 degrees C to 90 degrees C a atmospheric pressure . Find

a) The work done by the aluminum

b) The amount of energy transferred to it by heat

c) The increase in its internal energy




1725

Physics Heat & Thermodynamics Level: High School

Sketch a PV diagram of the following processes :

a) A gas expands at constant pressure P1 from volume V1 to volume V2 . It is then kept at constant volume while the pressure is reduced to P2 .

b) A gas is reduced in pressure from P1 to P2 while its volume is held constant at V1 . It is then expanded at constant pressure P2 to a final volume V2 .

c) In which of the processes is more work done by the gas ? why ?




1724

Physics Heat & Thermodynamics Level: High School

One mole of a monatomic idea gas at and initial pressure of 4 atm and temperature of 300 K is carried though the following reversible cycle :

1) It expands isothermally until it volume is doubled ;

2) It is compressed to its original volume at constant pressure ;

3) It is compressed isothermally to a pressure of 4 atm; and

4) It expands at constant pressure to its original volume .

a) Make an accurate plot of the cyclic process on a PV diagram .

b) Calculate the work done by the gas per cycle .

c) What is the efficiency of an engine operating in this cycle ?




1723

Physics Heat & Thermodynamics Level: High School

The figure at “click here” represents n moles of an ideal monatomic gas being taken through a reversible cycle consisting of two isothermal processes at temperature 3To and To and two constant-volume processes . Determine in terms of n, R, and To (a) the net heat transferred to the gas and (b) the efficiency of an engine operating in this cycle .



1721

Physics Heat & Thermodynamics Level: High School

An aluminum rod conducts 8.40 cal/s from a heat sources maintained at 2.10E 2 degrees C to a large body of water at 24 degrees C . Calculate the rate entropy increases per unit time in this process .



1720

Physics Heat & Thermodynamics Level: High School

A heat engine utilizes a heat source at 5.4E 2 degrees C and has an ideal (Carnot) efficiency of 25% . To increase the ideal efficiency to 36% ,what must be the temperature of the heat source ?



1719

Physics Heat & Thermodynamics Level: High School

Air modeled as an ideal diatomic gas (y = 1.40) goes through the following cycle :

1„³ 2 Constant pressure expansion from P1 = 1000 kPa , V1 = 0.200 m^3 to V2 = 0.400 m^3. T1 = 800 K .

2„³3 Adiabatic expansion to V3 = 0.800 m^3 .

3„³4 Constant pressure compression

4„³1 Adiabatic compression to the original state .

1) Find the work and heat transfer for each process . Determine whether the work or heat transfer is positive or negative .

2)Determine the total work done in the cycle .

3)Determine the total heat transfer in the cycle .

4)Sketch the process on a PV diagram .




1718

Physics Heat & Thermodynamics Level: High School

1 kg of ice at -30 degrees C is converted to steam at 120 degrees C . Calculate the heat transfer for each process . Determine the total heat transfer . Calculate the entropy change for each process . Determine the total entropy change . .



1717

Physics Heat & Thermodynamics Level: High School

Conduction

A water heater is covered with insulation boards over a total surface area of 3.00 m^2 . The inside board surface is at 75 degrees C , the outside surface is at 20 degrees C , and the board material has a conductivity of 0.08 W/m.K . How thick should the board be to limit the heat transfer loss to 200 W ?

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