JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
An ideal gas is expanding such that \({PT}^{3}=\) constant. The coefficient of volume expansion of the gas is:
- A \(\frac{1}{{T}}\)
- B \(\frac{2}{{T}}\)
- C \(\frac{4}{{T}}\)
- D \(\frac{3}{{T}}\)
Answer & Solution
Correct Answer
(C) \(\frac{4}{{T}}\)
Step-by-step Solution
Detailed explanation
\({PT}^{3}={constant}\) \(\left(\frac{{nRT}}{{v}}\right) {T}^{3}=\) constant \({T}^{4} {V}^{-1}=\text { constant }\) \({T}^{4}={kV}\) \(\Rightarrow 4 \frac{\Delta {T}}{{T}}=\frac{\Delta {V}}{{V}} \ldots . .(1)\) \(\Delta {V}={V} \gamma \Delta {T} . \ldots \ldots \ldots .(2)\)…
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