TS EAMCET · Physics · Kinetic Theory of Gases
An ideal gas in a closed container is heated so that the final rms speed of the gas particles increases by 2 times the initial rms speed. If the initial gas temperature is \(27^{\circ} \mathrm{C}\), then the final temperature of the ideal gas is :
- A \(1200^{\circ} \mathrm{C}\)
- B \(927^{\circ} \mathrm{C}\)
- C \(827^{\circ} \mathrm{C}\)
- D \(1473^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(B) \(927^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
As, rms velocity of ideal gas particles is given, \[ \begin{array}{rlrl} \Rightarrow \quad v_{\mathrm{rms}} & =\sqrt{\frac{3 k T}{m}} \\ & v_{\mathrm{rms}} & \propto \sqrt{T} \end{array} \] where, temperature \(T\) is measured in kelvin scale. So, the ratio…
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