TS EAMCET · Physics · Kinetic Theory of Gases
If \(\alpha_V\) and \(T\) are the coefficient of volume expansion and temperature for an ideal gas respectively, then
- A \(\alpha_V=\frac{1}{T}\)
- B \(\alpha_V=\sqrt{T}\)
- C \(\alpha_v=\frac{1}{\sqrt{T}}\)
- D \(\alpha_V=\frac{1}{T^2}\)
Answer & Solution
Correct Answer
(A) \(\alpha_V=\frac{1}{T}\)
Step-by-step Solution
Detailed explanation
Change in volume due to increase of temperature \((\Delta T)\) is given by \(\Delta V=\alpha_V V \Delta T\)....(i) where, \(\alpha_V=\) coefficient of volume expansion and \(\quad V=\) initial volume of gas. For an ideal gas, we know that \(p V=n R T\)....(ii)…
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