Question

Problem 18.58 To keep a room at a comfortable 22.0 °C, a Carnot heat pump does 335 J of work and supplies it with 3880 J of heat. Part A How much heat is removed from the outside air by the heat pump? Ή ΑΣΦ J Submit Request Answer Part B What is the temperature of the outside air? ΟΙ ΑΣΦ T. K Submit Request Answer

Answer 1

A)

as work done is 335J

and the heat absorbed($Q_1$) by the engine is 3880J

as we know ha work done can e expressed as

$W=Q_1-Q_c$

$Q_c=Q_1-W$

Qc = 3880 – 335

Qc = 3545J

B)

as we know that effeciency of the carnot engine in terms of temperature is given by

Ti n TC Те Q1

as

in terms of kelvin

$\eta=\frac{W}{Q_1}=\frac{T_c-T_i}{T_c}$

$\eta=\frac{335}{3880}=\frac{T_c-295}{T_c}$