COMEDK · Physics · 13. Thermodynamics
An ideal gas is expanding such that \(P T^2=\) constant. The coefficient of volume expansion of the gas is
- A \(\dfrac{T}{3}\)
- B \(3 T\)
- C \(\dfrac{2}{T}\)
- D \(\dfrac{3}{T}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{3}{T}\)
Step-by-step Solution
Detailed explanation
The equation of state for an ideal gas is \(PV = nRT\). Given \(PT^{2} = C\), where \(C\) is a constant, we can write \(P = C T^{-2}\). Substituting this into the ideal gas equation, we get \((C T^{-2}) V = nRT\). Rearranging for \(V\), we have \(V = \dfrac{nR}{C} T^{3}\). The…
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