Thermodynamics Test

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Thermodynamics Test - 60

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Weekly Quiz Competition

Question 1
4 / -1

A Carnot engine whose low temperature reservoir is at 7°C has an efficiency of 50%. It is desired to increase the efficiency to 70%. By how many degrees should the temperature of the high temperature reservoir be increased

A
840 K

B
280 K

C
560 K

D
380 K

Solution
Question 2
4 / -1

P-V diagram of a diatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be

A
4 R

B
2.5 R

C
3 R

D

Solution
Question 3
4 / -1

Following figure shows an adiabatic cylindrical container of volume V_o divided by an adiabatic smooth piston (area of cross-section = A) in two equal parts. An ideal gas (C_p/C_v = γ) is at pressure P₁and temperature T₁ in left part and gas at pressure P₂ and temperature T₂ in right part. The piston is slowly displaced and released at a position where it can stay in equilibrium. The final pressure of the two parts will be (Suppose x Displacement of the piston)

A

B

C

D

Solution
Question 4
4 / -1

Two moles of ideal helium gas are in a rubber balloon at 30°C . The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35°C . The amount of heat required in raising the temperature is nearly (Take R = 8.31 J/mol-K)

A
62 J

B
104 J

C
124 J

D
208 J

Solution
Question 5
4 / -1

A system goes from A to B via two processes I and II as shown in figure. If ∆U₁ and ∆U₂ are the changes in internal energies in the processes I and II respectively, then

A

B

C

D

Solution
Question 6
4 / -1

A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is

A
20 J

B
–20 J

C
400 J

D
–374 J

Solution
Question 7
4 / -1

A graph of pressure versus volume for an ideal gas for different processes is as shown. In the graph curve OC represents

A
Isochoric process

B
Isothermal process

C
Isobaric process

D
Adiabatic process

Solution
Question 8
4 / -1

The P-V diagram shows seven curved paths (connected by vertical paths) that can he followed by a gas. Which two of them should be parts of a closed cycle if the network done by the gas is to be at its maximum value?

A
ac

B
cg

C
af

D
cd
Question 9
4 / -1

An ideal gas of mass m in a state A goes to another state B via three different processes as shown in figure. If Q₁, Q₂ and Q₃ denote the heat absorbed by the gas along the three paths, then

A

B

C

D

Solution
Question 10
4 / -1

Which of the following graphs correctly represents the variation of β = –(dV/dP)/V with P for an ideal gas at constant temperature?

A

B

C

D

Solution