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Question

Calculate the root mean square, average and most probable speed of oxygen at 27C.

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Solution

27C=300 K
Root mean square speed =3RTM
R=8.314×107erg K1mol1;M=32 g mol1;T=300 K
Substituting the values,
=3×8.314×107×30032
=483.56 cm/sec
=483.56 m/sec
Average speed =8RTπM
=8×8.314×107×300×722×32
=445.42 cm/sec
=445.42 m/sec
Most probable speed =2×R×TM
=2×8.314×107×30032
=39482 cm/sec
=394.83 m/sec.

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