JEE Main2016PhysicsThermodynamicsActual
A Carnot freezer takes heat from water at 0 o C inside it and rejects it to the room at a temperature of 27 o C . The latent heat of ice is 336 × 10 3 J k g - 1 . If 5kg of water at 0 o C is converted into ice at 0 o C by the freezer, then the energy consumed by the freezer is close to :
Options
- A1 .51 × 10 5   J
- B1 .68 × 10 6   J
- C1 .71 × 10 7   J
- D1 .67 × 10 5   J
Correct answer
D. 1 .67 × 10 5   J
Step-by-step solution
Q= m L = 5 × 336 × 10 3 = Q s i n k Q s i n k Q s o u r c e = T s i n k T s o u r c e ∴       Q s o u r c e = T s o u r c e T s i n k Q s i n k ∴       Work done   = Q s o u r c e - Q s i n k = Q s i n k T s o u r c e T s i n k - 1 = 5 × 336 × 10 3 300 273 - 1 = 1 .67 × 10 5   J