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Second Law Of Thermodynamics NAT Level - 2 - Physics MCQ


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10 Questions MCQ Test - Second Law Of Thermodynamics NAT Level - 2

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*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 1

To make some ice, a freezer extracts 185kJ of heat at –12ºC. The freezer has a coefficient of performance of 5.70. The room temperature is 26ºC. How much heat is delivered to the room (in kJ) 


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 1

To obtain the heat that is delivered to the room, first we have to find out the required work W to run the freezer.
To obtain the required work W to run the freezer,

Now 
⇒ heat delivered to the room would be 217.5kJ
The correct answer is: 217.5

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 2

An electric current of 3A flows through a resistance of 10Ω. It is being cooled by running water and is kept at temperature 300K, what is the change in entropy per second of the resistance (in Joules degree).


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 2

There is no change in the entropy of the resistance because there is no change in the state of the wire.
The correct answer is: 0

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*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 3

Steam at 100ºC is mixed with 1500gms of water at 15ºC so that the final temperature of the mixture is 80ºC the mass of steam is (in gms).


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 3

Hence, m1 = ?, m2 = 1500gm
T1 = 373K, T2 = 273 + 15 = 288 K
Final temperature of mixture be T = 353 K
m1 × 540 + m1 (373 – 353) = 1500(353 – 288)
(540 + 20)m1 = 1500 × 65
m1 = 175g
The correct answer is: 175

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 4

A refrigerator is such that it extracts 20kJ of heat at a lower temperature and give out 50kJ of heat to the surrounding, what is the coefficient of performance (K)


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 4


W = QK – QL

= 20/30
K = 0.67
The correct answer is: 0.67

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 5

The two ends of a rod of thermal conductivity K, length L and cross-section A are immersed in two heat reservoirs at temp T1 = 800K and T2 = 500K. The rod is thermally insulated from the surroundings. In a steady state, the entropy of the universe in per unit time at the rate of (in units of kA/L)


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 5

Since the rod is thermally insulated from the surrounding and its two ends are immersed in two heat reservoirs. then,
 where K , is thermal conductivity.
Now, increase in entropy is given by



T1 = 800K, T2 = 500K

The correct answer is: 0.225

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 6

1000gm of water at temperature 300K is isobarically and adiabatically mixed with an equal mass of water at 500K. Cp = 0.01 cal K-1gm-1 . The entropy change of the universe in (cal K-1 ) is


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 6


Now,

Also, the higher temperature loses heat and water temperature gains heat, we can write,



Since 
and  
Total entropy change of universe




m = 1000gm, CP = 0.01Cal K-1 gm-1
T1 = 300K, T2 = 500K
⇒ ΔS = 0.645
The correct answer is: 0.645

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 7

Engine A, compared to engine B, produces, per cycle, five times the work but receives three times the heat input and exhaust out twice the heat. Determine the efficiency of engine B


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 7

Let work done by the engine B is WB.

Let heat input of engine B is Qi,B.
⇒ 
Let heat output of engine B is Q0,B
⇒ 
Work done in an engine is equal to the difference of input heat and output heat.


⇒ Efficiency of engine B will be

The correct answer is: 0.33

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 8

At what temperature in Kelvin scale, fluid are assumed to have zero entropy 


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 8

S = KblnΩ
At 0 K, we know the system is certainly in the ground state Ω = 1, so the definition returns zero.
The correct answer is: 0

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 9

A mixture of 1.78kg of water and 262g of ice at 0ºC is, in a reversible process, brought to a final equilibrium state where the water/ice ratio, by mass is 1:1 at 0ºC. Calculate the entropy change of the system during this process (in J/K). L = 333 × 103 J/kg for water


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 9

Mass of water = 1.78kg
Mass of ice = 262g
Mass of ice-water mixture = 1.78 kg + 262g
= 2.04kg
If eventually, ice and and water have the same mass, then the final state will have 1.02kg of each.
Thus, mass of water that changed into ice m will be the difference of mass of water mW and mass of final state mS .
So, m = mW – mS
⇒m = 1.78 – 1.02
= 0.76kg
The change of water at 0ºC to ice at 0ºC is isothermal.
⇒ ΔS = –mL/T
= –(0.76kg) (333×103J/kg) (273K)
= –927 J/K
⇒ Change in entropy of the system during this process will be –927J/K.
The correct answer is: 927

*Answer can only contain numeric values
Second Law Of Thermodynamics NAT Level - 2 - Question 10

An oil bath kept at 27ºC is being supplied heat at the rate of 100Js-1 . Assuming the process to be quasi-static, the rate of increase of entropy of the system is approximately(in JK-1 s-1 )?


Detailed Solution for Second Law Of Thermodynamics NAT Level - 2 - Question 10

Change in entropy = 

= 0.33Js-1K-1
The correct answer is: 0.33

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