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15 m is correct answer
We can assume that the process is isothermal because the temperature of the surrounding remains constant
So, by applying Boyle’s law
P
s
V
s
=P
d
V
d
.....(I)
Where, s = surface of water
d = depth
Given that,
Depth of lake =h
Volume V
s
=3V
d
Now,
P
s
=75cmHg
P
d
=75+
10
h
Now, put the value of equation(I)
75×3=75+
10
h
225−75=
10
h
h=1500cm
h=15m
Hence, the depth of lake is 15 m
Answer:
We can assume that the process isothermal because the temperature of the surrounding remains constant
PsVs=PdVd........(I)
Where s=Surface of water
d=depth
Given that,depth of lake=h
Volume Vs=3Vd
Now,
Ps=75cm Hg
Pd=75+h/10
Now put the value of equation (I)
75*3=75+h/10
225-75=h/10
h=1500cm
h=15m
Hence the depth of lake is 15m
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