Identify the correct labels of A, B, and C in the following graph from the options given below:
Root mean square speed (V_rms); most probable speed (V_mps); average speed (V_avg).

A = V_mps, B = V_avg, C = V_rms
A = V_mps, B = V_rms, C = V_avg
A = V_avg, B = V_rms, C = V_mps
A = V_rms, B = V_mps, C = V_avg

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Solution

The correct option is A
A = V_mps, B = V_avg, C = V_rms

Most probable speed: The most probable speed is the one which informs about the speed possessed by the maximum number of molecules of the gas.
Average speed: The average speed is the sum of the speeds of all the molecules divided by the number of molecules.
Root mean square speed: The root means square speed (RMS value) is the square root of the mean of the squares of the velocities of the individual gas molecules.
Since,
$V_{rms} = \sqrt{\frac{3 RT}{M}} V_{av g} = \sqrt{\frac{8 RT}{M}} V_{mp} = \sqrt{\frac{2 RT}{M}}$
Therefore, the ratio of the speeds is:
$V_{rms} : V_{av g} : V_{mp} = \sqrt{3} > \sqrt{8} > \sqrt{2}$
V_rms is greater in magnitude than V_avg and V_mp is the smallest in magnitude.
Therefore, A = V_mps, B = V_avg, C = V_rms

Hence, option (A) is the correct answer.

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Identify the correct labels of A, B, and C in the following graph from the options given below:Root mean square speed (Vrms); most probable speed (Vmps); average speed (Vavg).A = Vmps, B = Vavg, C = VrmsA = Vmps, B = Vrms, C = VavgA = Vavg, B = Vrms, C = VmpsA = Vrms, B = Vmps, C = Vavg