TS EAMCET · Physics · Kinetic Theory of Gases
An ideal gas at \(127^{\circ} \mathrm{C}\) is compressed suddenly to \(\frac{8}{27}\) of its initial volume. If \(\gamma=\frac{5}{3}\) for an ideal gas, then rise in its temperature is
- A \(450 \mathrm{~K}\)
- B \(500 \mathrm{~K}\)
- C \(225 \mathrm{~K}\)
- D \(405 \mathrm{~K}\)
Answer & Solution
Correct Answer
(B) \(500 \mathrm{~K}\)
Step-by-step Solution
Detailed explanation
The condition for adiabatic process is \(\mathrm{TV}^{\gamma-1}=\) constant Before compression, \(\mathrm{T}_1 \mathrm{~V}_1^{\gamma-1}=\) const. After compression, \(\mathrm{T}_2 \mathrm{~V}_2^{\gamma-1}=\) const. Dividing (ii) by (i):…
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