A refrigerator placed in a room at $300 K$ has inside temperature $200 K$ . How many calories of heat shall be delivered to the room for each 2 kCal of energy consumed by the refrigerator ideally

4 kCal

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2 kCal

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8 kCal

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6 kCal

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Solution

The correct option is B 6 kCal
Efficiency of the Carnot cycle is given by:
$η = 1 - \frac{T_{s i n k}}{T_{s o u r c e}}$
$η = \frac{W}{Q}$
$T_{s o u r c e} = 300 K$
$T_{s i n k} = 200 K$
$η = 1 - \frac{T_{s i n k}}{T_{s o u r c e}} = 1 - \frac{200}{300} = 0.33$

$η = \frac{W}{Q} = \frac{2 K c a l}{Q}$
i.e.
$Q = \frac{2 K c a l}{0.33} = 6 K c a l$

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A refrigerator placed in a room at 300K has inside temperature 200K. How many calories of heat shall be delivered to the room for each 2 kCal of energy consumed by the refrigerator ideally

The correct option is B 6 kCalEfficiency of the Carnot cycle is given by:η=1−TsinkTsourceη=WQTsource=300KTsink=200Kη=1−TsinkTsource=1−200300=0.33η=WQ=2KcalQi.e.Q=2Kcal0.33=6Kcal

A refrigerator placed in a room at $300 K$ has inside temperature $200 K$ . How many calories of heat shall be delivered to the room for each 2 kCal of energy consumed by the refrigerator ideally