What is the minimum amount of work needed to extract 100 calories of heat at the

Question

What is the minimum amount of work needed to extract 100 calories of heat at the temperature 0 degrees C when the temperature of the environment is 25 degrees C? How much heat is given off at the warmer temperature? What is the minimum amount of work needed to extract 100 calories of heat at the temperature 0 degrees C when the temperature of the environment is 25 degrees C? How much heat is given off at the warmer temperature? What is the minimum amount of work needed to extract 100 calories of heat at the temperature 0 degrees C when the temperature of the environment is 25 degrees C? How much heat is given off at the warmer temperature?

Explanation / Answer

a) Convert temp into Kelvin,

K = (25+273)/(25)
= 11.92

K = QL/W

QL = 100 cal

So,
W = 11.92*100
= 119.2 J

b)
W = Q*(T1/T2 - 1)
=> 119.2 = Q*(273/298 -1)
=> Q = -1421 J

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