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A refrigerator is to maintain eatables k...

A refrigerator is to maintain eatables kept inside at `9^@` C. If room temperature is `36^@ C`, calculate the coefficient of performance of refrigerator.

A

10.4

B

11.4

C

12.4

D

13.4

Text Solution

Verified by Experts

The correct Answer is:
A
`T_1`=36+273 = 309 K
`T_2`=9+273 =282 K
Coefficient of performance of refrigerator ,
`beta=T_2/(T_1-T_2)=282/(309-282)=282/27`
`therefore beta=10.4`
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Refrigerator is an apparatus which takes heat from a cold body, work is done on it and the work done together with the heat absorbed is rejected to the source. An ideal refrigerator can be regarded as Carnot's ideal heat engine working in the reverse direction. The coefficient of performance of refrigerator is defined as beta = ("Heat extracted from cold reservoir")/("work done on working substance") = (Q_(2))/(W) = (Q_(2))/(Q_(1)- Q_(2)) = (T_(2))/(T_(1) - T_(2)) A Carnot's refrigerator takes heat from water at 0^(@)C and discards it to a room temperature at 27^(@)C . 1 Kg of water at 0^(@)C is to be changed into ice at 0^(@)C. (L_(ice) = 80"kcal//kg") What is the coefficient of performance of the machine?

Refrigerator is an apparatus which takes heat from a cold body, work is done on it and the work done together with the heat absorbed is rejected to the source. An ideal refrigerator can be regarded as Carnot's ideal heat engine working in the reverse direction. The coefficient of performance of refrigerator is defined as beta = ("Heat extracted from cold reservoir")/("work done on working substance") = (Q_(2))/(W) = (Q_(2))/(Q_(1)- Q_(2)) = (T_(2))/(T_(1) - T_(2)) A Carnot's refrigerator takes heat from water at 0^(@)C and discards it to a room temperature at 27^(@)C . 1 Kg of water at 0^(@)C is to be changed into ice at 0^(@)C. (L_(ice) = 80"kcal//kg") How many calories of heat are discarded to the room?

Refrigerator is an apparatus which takes heat from a cold body, work is done on it and the work done together with the heat absorbed is rejected to the source. An ideal refrigerator can be regarded as Carnot's ideal heat engine working in the reverse direction. The coefficient of performance of refrigerator is defined as beta = ("Heat extracted from cold reservoir")/("work done on working substance") = (Q_(2))/(W) = (Q_(2))/(Q_(1)- Q_(2)) = (T_(2))/(T_(1) - T_(2)) A Carnot's refrigerator takes heat from water at 0^(@)C and discards it to a room temperature at 27^(@)C . 1 Kg of water at 0^(@)C is to be changed into ice at 0^(@)C. (L_(ice) = 80"kcal//kg") What is the work done by the refrigerator in this process ( 1 "cal" = 4.2 "joule" )

Explain working of refrigerators/heat pumps and its coefficient of performance.

If the coefficient of performance of a refrigerator is 5 and operates at the room temperature (27^@C) , find the temperature inside the refrigerator.

KUMAR PRAKASHAN-THERMODYANMICS -Section-F Questions from Module
  1. In a thermodynamics process which one of the following statement is no...

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  2. A carnot engine takes in 3 xx 10^6 cal of heat from source at 627^@ C ...

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  3. If a gas is heated at constant pressure, then what percentage of total...

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  4. By which one of the following working temperature the efficiency of a ...

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  5. A carnot engine converts one sixth of the heat input into work. The si...

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  6. An ideal gas passes along path ABCA of P to V graph as shown here. The...

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  7. The efficiency of carnot engine working between temperatures 200^@ C a...

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  8. A gaseous mixture consists of 16 g of helium (He) and 16 g oxygen (O2)...

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  9. During an adiabatic process the pressure of gas is found to be proport...

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  10. A system is taken along different path in the graph of Pto V from its ...

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  11. A refrigerator is to maintain eatables kept inside at 9^@ C. If room t...

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  12. A system absorbs 2 Kcals heat and does 500 J of work, then internal en...

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  13. If a monoatomic gas at 17^@C is suddenly compressed to 1/8th of initia...

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  14. One mole of an ideal gas at 300 K expands from V to 2V volume, then wo...

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  15. One mole of an ideal gas is heated at constant pressure. If an 100 Jou...

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  16. The efficiency of a carnot engine eta = 1/10. This carnot engine used ...

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  17. A gas at 27^@ C temperature and 30 atmospheric pressure is allowed to ...

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  18. When an ideal diatomic gas is heated at constant pressure, the fractio...

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  19. The molar specific heat at constant pressure of an ideal gas is 7/2R....

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  20. A carnot engine has efficiency 40 % and it absorbs heat from source at...

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