JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
Following statements are given : \((1)\) The average kinetic energy of a gas molecule decreases when the temperature is reduced. \((2)\) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature. \((3)\) The average kinetic energy of a gas molecule decreases with increases in volume. \((4)\) Pressure of a gas increases with increase in temperature at constant pressure. \((5)\) The volume of gas decreases with increase in temperature. Choose the correct answer from the options given below:
- A \((1)\) and \((4)\) only
- B \((1)\),\((2)\) and \((4)\) only
- C \((2)\) and \((4)\) only
- D \((1),(2)\) and \((5)\) only
Answer & Solution
Correct Answer
(A) \((1)\) and \((4)\) only
Step-by-step Solution
Detailed explanation
\(KE _{\text {avg }}=\frac{3}{2} KT\) \(P =\frac{1}{3} \rho V _{\text {rus }}^{2}\) Note : Statement \((4)\) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option \((A)\).
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