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← JEE Main 2014 · 12 Apr · Shift 1
PhysicsSingle correct+4 / -1Question 13 of 90

JEE Main 2014 · 12 Apr · Shift 1, Physics question 13

At room temperature a diatomic gas is found to have an r.m.s. speed of 1930 ms−1^{-1}. The gas is :

Choose one option
Answer and worked solution

Official answer: A

vrms=3RTMv_{rms}=\sqrt{\dfrac{3RT}M} with T≈300T\approx300 K:
M=3×8.314×30019302≈2.0×10−3 kg/mol,M=\frac{3\times8.314\times300}{1930^2}\approx2.0\times10^{-3}\text{ kg/mol},
which is HX2\ce{H2}.