The r.m.s. velocity of hydrogen is 7 times the r.m.s. velocity of nitrogen. If T is the temperature of the gas

Question

The r.m.s. velocity of hydrogen is 7 times the r.m.s. velocity of nitrogen. If T is the temperature of the gas, T ( H 2 ) = T ( N 2 ), T ( H 2 ) > T ( N 2 ), T ( H 2 ) T ( N 2 ), T ( H 2 ) = 7 T ( N 2 )

MARKS App · Accepted Answer

μ = 3 R T M μ ∝ T M So μ H 2 / μ N 2 = [ ( T H 2 / M H 2 ) × ( M N 2 / T N 2 ) ] 7 = ( T H 2 × 28 / T N 2 × 2 ) = T H 2 × 14 / T N 2 On squaring both sides and solving we get T N 2 = 2 T H 2 so T N 2 > T H 2

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