COMEDK · Physics · 13. Thermodynamics
For an ideal gas, coefficient of volume expansion is given by
- A \(\dfrac{1}{p}\)
- B \(\dfrac{1}{p V}\)
- C \(\dfrac{1}{R}\)
- D \(\dfrac{1}{T}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{1}{T}\)
Step-by-step Solution
Detailed explanation
The equation of state for an ideal gas is \(PV = nRT\). The coefficient of volume expansion \(\gamma\) is defined as \(\gamma = \dfrac{1}{V} \left( \dfrac{\partial V}{\partial T} \right)_{P}\). From the ideal gas equation, \(V = \dfrac{nRT}{P}\). Differentiating \(V\) with…
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