Calculate the root mean square, average and most probable speeds of chlorine molecule at
27°C.
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Answer:
27
∘
C=300 K
Root mean square speed =
M
3RT
R=8.314×10
7
erg K
−1
mol
−1
;M=32 g mol
−1
;T=300 K
Substituting the values,
=
32
3×8.314×10
7
×300
=483.56 cm/sec
=483.56 m/sec
Average speed =
πM
8RT
=
22×32
8×8.314×10
7
×300×7
=445.42 cm/sec
=445.42 m/sec
Most probable speed =
M
2×R×T
=
32
2×8.314×10
7
×300
=39482 cm/sec
=394.83 m/sec.
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