JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
An ideal gas at pressure \(P\) and temperature \(T\) is expanding such that \(PT^3 = \) constant. The coefficient of volume expansion of the gas is _______.
- A \(\dfrac{2}{T}\)
- B \(\dfrac{1}{T}\)
- C \(\dfrac{4}{T}\)
- D \(\dfrac{3}{T}\)
Answer & Solution
Correct Answer
(C) \(\dfrac{4}{T}\)
Step-by-step Solution
Detailed explanation
Given the process equation for the ideal gas: \(PT^3 = \text{constant}\) From the ideal gas equation, \(PV = nRT\), which gives \(P = \dfrac{nRT}{V}\). Substituting \(P\) into the process equation: \(\left(\dfrac{nRT}{V}\right) T^3 = \text{constant}\)…
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