Calculate the rms speed of O2 at 273K and at a pressure of 2×104Pa .
The density of O2 under these conditions is 1.50kg m−3.
A
2×104m s−1
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B
2×102m s−1
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C
2×101m s−1
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D
2×103m s−1
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Solution
The correct option is B2×102m s−1 As urms=√3RTM
using PV=nRT urms=√3PVnM urms=√3PV×Mw×M urms=√3PVw urms=√3Pd
where, density d=wV
therefore,
urms=√3Pd=√6×1041.50=2×102m s−1