If the velocity of sound in hydrogen at 0° C is 1400m/s,what
will be the velocity of sound at the same temperature in a
mixture of 2 parts by volume of hydrogen to one of oxygen.
Density of oxygen is 16 times that of hydrogen. ( Ans:
571.5m/s)
Answers
Answered by
0
Answer:
I hope you will understand it
Explanation:
Let
ρ
H
be the density of hydrogen and
ρ
the density of oxygen. Then
ρ
=
16
ρ
H
.
Let x be the volume of the mixture
Volume of hydrogen in the mixture
=
2
x
3
Volume oxygen in the mixture
=
x
3
Mass of hydrogen in the mixture
=
(
2
x
3
)
ρ
Mass of oxygen in the mixture
=
(
2
x
3
)
ρ
0
=
(
x
3
)
16
ρ
T
o
t
a
l
m
a
s
s
=
2
ρ
x
3
+
16
ρ
x
3
=
18
ρ
x
3
=
6
ρ
x
)
Density of the mixture =
m
a
s
s
v
o
l
u
m
e
=
16
ρ
x
x
=
6
ρ
Now
v
H
v
m
=
√
ρ
m
ρ
v
H
= velocity of sound in hydrogen =
1400
m
s
−
1
v
m
= velocity of sound in mixture
=
1400
m
s
−
1
ρ
m
=
6
ρ
ρ
H
=
ρ
∴
1400
v
m
=
√
6
ρ
ρ
=
2.45
v
m
=
1400
2.45
=
571.4
m
s
−
1
Ans:
571.4
m
s
−
1
Similar questions