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

9 R

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\frac{9}{2}

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6 R

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5 R

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Solution

The correct option is D $9 R$
We treat water like a solid. For each atom average energy is $3 k_{B} T$ . Water molecule has three atoms, two hydrogen and one oxygen. The total energy of one mole of water is
$U = 3 \times 3 k_{B} T \times N_{A} = 9 R T$ $(∵ k_{B} = \frac{R}{N_{A}})$
$∴$ Heat capacity per mole of water is

$C = \frac{Δ Q}{Δ T} = \frac{Δ U}{Δ T} = 9 R$

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

The correct option is D 9RWe treat water like a solid. For each atom average energy is 3kBT. Water molecule has three atoms, two hydrogen and one oxygen. The total energy of one mole of water isU=3×3kBT×NA=9RT (∵kB=RNA)∴ Heat capacity per mole of water isC=ΔQΔT=ΔUΔT=9R