A Carnot heat pump is used to maintain a room at a temperature of 27°C, the initial temperature of the room was -4°C. The heat loss from the room in 20 kW. What is the power requirement )in kW) of the pump?

A heat pump is used to maintain a hall at 30°C when the atmospheric temperature is 15°C. The heat loss from the hall is 1200 kJ/min. Calculate the power required to run the heat pump if its C.O.P. is 40% of the Carnot machine working between the same temperature limits.

A

0.495

B

4.04

C

0.247

D

8.08

A carnot heat pump is used to heat a house. The outside temperature is -3ºC and the indoor temperature is 27ºC. If the heat loss from the house is 40kW, the power required to operate the heat pump is?

A

1kW

B

2kW

C

3kW

D

4kW

A Carnot heat engine receives heat at 750 K and rejects the waste heat to the environment at 300 K. The net work output of the heat engine is used to drive a Carnot refrigerator, whose COP is 6.14. If the heat removal rate from the refrigerated space is 6.6 kW, determine the rate of heat supply to the heat engine?

A

2.79 kW

B

1.79 kW

C

4.79 kW

D

7.79 kW

A heat pump is used to meet the heating requirements of a house and maintain it at 20°C. On a day when the outdoor air temperature drops to 2°C, the house is estimated to lose heat at a rate of 80,000 kJ/h. If the heat pump under these conditions has a COP of 2.5, determine the power consumed by the heat pump.

A

32000 kJ/h

B

33000 kJ/h

C

34000 kJ/h

D

35000 kJ/h

Hotel Aditya has 10 single AC rooms, 5 double AC rooms and 18 non AC rooms. The fixed monthly rent of hotel is 150,000. The per day maintenance cost is Rs. 100 for double AC room, Rs. 75 for single AC room and Rs. 40 for non AC room. The per day charges are Rs. 600 for double AC room, Rs. 400 for single AC room and Rs. 250 for non AC room. In April 2003, the occupancy rate of non AC room was 50%, 70% of single AC room and 40% of double AC rooms. Find the profit/loss % for that particular month.

A

10.33% (profit)

B

10.33% (loss)

C

5.67% (loss)

D

5.67% (profit)

E

No profit, no loss

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the total cost of flooring a room? Statement I: The length of the room is 70% more than the breadth of the room Statement II: The cost of flooring some other room whose length is twice the length of the given room and breadth is one third of the breadth of the given room is Rs.3000 less than the cost of flooring of given room Statement III: The perimeter of the room is 90 m and cost of flooring is Rs. 20 per m2

A

I and III

B

I and III or II

C

I and II

D

Only III

E

None of these

A heat pump is used to meet the heating requirements of a house and maintain it at 20°C. On a day when the outdoor air temperature drops to 2°C, the house is estimated to lose heat at a rate of 80,000 kJ/h. If the heat pump under these conditions has a COP of 2.5, determine the rate at which heat is absorbed from the cold outdoor air.

A

32000 kJ/h

B

48000 kJ/h

C

54000 kJ/h

D

72000 kJ/h

The efficiency of a Carnot heat engine operating between absolute temperatures T₁ and T₂ (when, T₁ > T₂) is given by (T₁ - T₂)/T₁. The co-efficient of performance (CO.P.) of a Carnot heat pump operating between T₁ and T₂ is given by

A

T₁/(T₁-T₂)

B

T₂/(T₁-T₂)

C

T₁/T₂

D

T₂/T₁

The efficiency of a Carnot heat engine operating between absolute temperatures T₁ and T₂ (when, T₁ > T₂) is given by (T₁ - T₂)/T₁. The co-efficient of performance (C.O.P.) of a Carnot heat pump operating between T₁ and T₂ is given by

A

T₁/(T₁-T₂)

B

T₂/(T₁-T₂)

C

T₁/T₂

D

T₂/R1

The efficiency of a Carnot heat engine operating between absolute temperatures T₁ and T₂ (when, T₁ > T₂) is given by $$\frac{{{{\text{T}}_1} - {{\text{T}}_2}}}{{{{\text{T}}_1}}}.$$ The co-efficient of performance (C.O.P.) of a Carnot heat pump operating between T₁ and T₂ is given by

A

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_1} - {{\text{T}}_2}}}$$

B

$$\frac{{{{\text{T}}_2}}}{{{{\text{T}}_1} - {{\text{T}}_2}}}$$

C

$$\frac{{{{\text{T}}_1}}}{{{{\text{T}}_2}}}$$

D

$$\frac{{{{\text{T}}_2}}}{{{{\text{T}}_1}}}$$

A Carnot heat pump is used to maintain a room at a temperature of 27°C, the initial temperature of the room was -4°C. The heat loss from the room in 20 kW. What is the power requirement )in kW) of the pump?

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