At 600 K , the root mean square ( rms ) speed of gas X (molar mass = 40 ) is equal to the most probable speed of gas Y at 90 K . The molar mass of the gas Y is _____ g mol – 1 . (Nearest integer)

Question

At 600 K , the root mean square ( rms ) speed of gas X (molar mass = 40 ) is equal to the most probable speed of gas Y at 90 K . The molar mass of the gas Y is _____ g mol – 1 . (Nearest integer),

MARKS App · Accepted Answer

The root mean square velocity V rms = 3 RT M The most probable speed V mp = 2 RT M T = Temperature in Kelvin M = Molar mass V rms of X V mp of Y = 3 T X M Y 2 T Y M X 1 = 3 × 600 × M Y 2 × 90 × 40 = M Y 4 M Y = 4 gm mol - 1

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