active mass of 127g of Iodine present in 2 litre
Answers
Answer:
Given : T=400 K, ν=1000 Hz
Atomic mass of Iodine m
I
=0.127 kg/mol
Let Iodine exists as I
n
.
So molar mass of I
n
, M
I
n
=nm=0.127n kg/mol
Distance between the nodes l=6.77 cm
So, wavelength of sound wave λ=2l=2(6.77)=0.135 m
Thus, velocity of sound wave v=νλ
∴ v=1000×0.135=135 m/s
Also, velocity of sound wave v=
M
I
n
γRT
∴ 135=
0.127n
γ(8.3)(400)
⟹ γ=0.7n
For n=1, we get γ=1.4 which is for diatomic gas.
Hence, Iodine is diatomic.
Thus answer is 2.
Explanation:
Given : T=400 K, ν=1000 Hz
Atomic mass of Iodine m
I
=0.127 kg/mol
Let Iodine exists as I
n
.
So molar mass of I
n
, M
I
n
=nm=0.127n kg/mol
Distance between the nodes l=6.77 cm
So, wavelength of sound wave λ=2l=2(6.77)=0.135 m
Thus, velocity of sound wave v=νλ
∴ v=1000×0.135=135 m/s
Also, velocity of sound wave v=
M
I
n
γRT
∴ 135=
0.127n
γ(8.3)(400)
⟹ γ=0.7n
For n=1, we get γ=1.4 which is for diatomic gas.
Hence, Iodine is diatomic.
Thus answer is 2.