Which graph correctly represents root mean square speed $v_rms$ of an ideal gas versus absolute temperature T?
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Question

Which graph correctly represents root mean square speed v r m s v_rms v r ​ m s of an ideal gas versus absolute temperature T?

G1 Physics · Accepted Answer

v r m s = √ ( 3 R T / M ) , v_rms=√(3RT/M), v r ​ m s = √ ( 3 R T / M ) , therefore v r m s ∝ √ T . v_rms∝√T. v r ​ m s ∝ √ T . A square-root graph increases with T but has decreasing slope, so it is concave downward.

Which graph correctly represents root mean square speed v r m s v_rms v r ​ m s of an ideal gas versus absolute temperature T?

Which graph correctly represents root mean square speed v r m s v_rms v r m s of an ideal gas versus absolute temperature T?