Question:
A water molecule has three atoms (two hydrogen and one oxygen) with total energy $9RT$ ($3 \times 3k_B T N_A = 9RT$). Its specific heat is:
A water molecule has three atoms (two hydrogen and one oxygen) with total energy $9RT$ ($3 \times 3k_B T N_A = 9RT$). Its specific heat is:
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Specific heat depends on the degrees of freedom. Molecules with vibrational and rotational modes have higher specific heat.
Updated On: Jan 17, 2026
- R
- R
- R
- R
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The Correct Option is D
Solution and Explanation
The total energy of a molecule with three degrees of freedom is:
\[ E = 9RT \]
The specific heat is:
\[ C = \frac{\partial E}{\partial T} = 9R \]
This aligns with the degrees of freedom for rotational and vibrational contributions.
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