NTA Abhyas JEE Main2020PhysicsThermodynamicsPractice
The molar heat capacity of rock salt at low temperatures varies with temperature according to Debye's law; C = k T 3 θ 3 where k = 1940 J mol - 1 K - 1 and θ = 281 K . The heat required to raise the temperature of 2 moles of rock salt from 10 K to 50 K is
Options
- A800   J
- B373   J
- C273   J
- D400   J
Correct answer
C. 273   J
Step-by-step solution
d Q = n C d T , d Q = n k T 3 θ 3 d T Q = n k θ 3 ∫ T 1 T 2 T 3 d t = n k θ 3 T 2 4 - T 1 4 4 = 2 × 1940 50 4 - 10 4 281 3 × 4 = 272.79 J Q = 273 J