Q- A glass bulb of 1 litre capacity contain 2×10²¹ molecules of N2 exerting pressure of 7.57×10³ Nm-² . Calculate the temperature and root mean square speed of gas. If the ratio of Ump to Urms is 0.83 also calculate most probable speed at this temperature.
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Answer:
Explanation:
mount of the gas =
6.023×10
23
2.0×10
21
mole
Given :
V=1 litre=10
−3
m
3
P=7.57×10
3
Nm
−2
R=8.314 J K
−1
mol
−1
.
Applying PV=nRT or T=
nR
PV
T=
6.023×10
23
2.0×10
21
×8.314
10
−3
×7.57×10
3
rms speed =
M
3RT
=
28×10
−3
3×8.314×274.2
=494.22ms
−1
Most probable speed =0.8×rms
=0.8×494.22 ms
−1
=395.376 ms
−1
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