Qstnid -Ii-6-figure Shows Graphs Of Pressure Vs Density For An Ideal Gas At Two Temperatures T<sub>1</sub> And T<sub>2</sub>. - 24: Kinetic Theory Of Gases - Neet-xii-physics

Home Learn Fast select Course

Show Unit/Chapter Change Unit Change Subject Last Menu

NEET-XII-Physics

24: Kinetic Theory of Gases

with Solutions -

Qstn# ii-6 Prvs-Qstn Next-Qstn

#6
Figure shows graphs of pressure vs density for an ideal gas at two temperatures T₁ and T₂.
(a) T₁ > T₂
(b) T₁ = T₂
(c) T₁ < T₂
(d) Any of the three is possible.
Figure
digAnsr: a
Ans : The straight line T₁ has greater slope than T₂. This means `` \frac{P}{\rho }`` ratio is greater for T₁ than T₂. Now, rms velocity of a gas is given by `` \sqrt{\frac{3P}{\rho }}``. This means rms velocity of gas with T₁ molecules is greater than T₂ molecules. Again, gas with higher temperature has higher rms velocity.
So, T₁ > T₂.
Thus,
(a) is the correct answer.