WBJEE · Physics · Kinetic Theory of Gases
Temperature of an ideal gas, initially at \(27^{\circ} \mathrm{C}\), is raised by \(6^{\circ} \mathrm{C}\). The rms velocity of the gas molecules will
- A increase by nearly \(2 \%\)
- B decrease by nearly \(2 \%\)
- C increase by nearly \(1 \%\)
- D decrease by nearly \(1 \%\)
Answer & Solution
Correct Answer
(C) increase by nearly \(1 \%\)
Step-by-step Solution
Detailed explanation
Initial temperature of ideal gas, \[ T_{1}=273+27=300 \mathrm{K} \] when temperature of gas is raised by \(6^{\circ} \mathrm{C},\) the final temperature of gas \[ \begin{aligned} T_{2} &=273+6+27 \\ &=306 \mathrm{K} \end{aligned} \] Let initial velocities are \(v_{r m_{1}},\)…
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