Question

Answer my question with step by step explanation ​

Answer 1

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 2

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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