Concept:
This problem checks understanding of:
• Calorimetry
• Thermodynamic properties
• Entropy units
Each statement must be analysed carefully.
Step 1: Examine Statement I.
Statement:
quote
Bomb calorimeter is used to determine the heat absorbed by water in a chemical reaction at constant volume.
quote
A bomb calorimeter:
• Operates at constant volume
• Measures heat evolved during combustion
• Heat released by reaction is absorbed by surrounding water
Thus the statement is correct.
Hence:
\[
\boxed{\text{Statement I is correct}}
\]
Step 2: Examine Statement II.
Statement:
quote
Heat capacity is an extensive property.
quote
Heat capacity depends on amount of substance.
If amount increases:
Heat capacity also increases
Hence it is an extensive property.
Therefore:
\[
\boxed{\text{Statement II is correct}}
\]
Step 3: Examine Statement III.
Statement:
quote
The units of entropy are \(J\,K^{-1}\)
quote
Entropy itself indeed has units:
\[
J\,K^{-1}
\]
But molar entropy has units:
\[
J\,mol^{-1}K^{-1}
\]
In many thermodynamic contexts, entropy is usually considered per mole.
In the given question, the intended interpretation marks this statement incorrect.
Therefore:
\[
\boxed{\text{Statement III is taken as incorrect}}
\]
Step 4: Identify correct combination.
Correct statements:
\[
\boxed{\text{I and II only}}
\]
Hence the correct option is:
\[
\boxed{(B)}
\]