STANDARDPhysics-Thermodynamics

STANDARD Physics Heat Capacities MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The heat capacity per mole of water is- (R is universal gas constant)

A

9R

B

92R\frac{9}{2}R

C

6R

D

5R

Correct Answer

Option A

Detailed Explanation

Water is treated like a solid. For each atom, the average energy is 3kBT3k_B T. A water molecule has three atoms, so the total energy of one mole of water is U=3×3kBT×NA=9RTU = 3 \times 3k_B T \times N_A = 9RT. Thus, the heat capacity per mole of water is C=ΔQΔT=ΔUΔT=9RC = \frac{\Delta Q}{\Delta T} = \frac{\Delta U}{\Delta T} = 9R.

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