Question

Which of the following is not a thermodynamic co-ordinate. (A) \(\mathrm{R}\) (B) \(\mathrm{P}\) (C) \(\mathrm{T}\) (D) \(\mathrm{V}\)

Short answer

The answer is (A) \(\mathrm{R}\), as it represents the gas constant, which is a universal constant and not a thermodynamic co-ordinate dependent on the state of a system.

Step-by-step solution

Analyze option (A)

Option (A) denotes the variable R. R usually represents the gas constant in thermodynamics, which is a universal constant and not a variable associated with the state of a system.

Analyze option (B)

Option (B) represents pressure (P), which is a thermodynamic co-ordinate. Pressure is a property of a system that changes with the system's state and affects its behavior.

Analyze option (C)

Option (C) represents temperature (T). Like pressure, temperature is also a thermodynamic co-ordinate, as it varies with the system's state and influences its properties.

Analyze option (D)

Option (D) represents volume (V). Volume is another essential thermodynamic co-ordinate, which characterizes a system's state and affects its behavior.

Conclusion

From our analysis, we can conclude that option (A) is not a thermodynamic co-ordinate since it represents the gas constant R, which is a universal constant and does not depend on the state of a system. Therefore, the answer is (A) \(\mathrm{R}\).