At the bottom of the lake the pressure is 1.5 atmosphere . What is the depth of the lake? (1 atm= 10 to the power 5 Pa)
Answers
Answered by
31
Answer:
Depth = d
Atmospheric Pressure = P₀ = 10⁵ Pa
Density of water at 4°C (ρ) = 10³ kg/m³
Pressure at half of depth
P = P₀ + (d/2)ρg
P = P₀ + 0.5dρg
Pressure at the bottom of lake
P’ = P₀ + dρg
Given that P = 2P’/3
P₀ + 0.5dρg = 2(P₀ + dρg)/3
P₀ + 0.5dg = 2P₀/3 + 2dρg/3
P₀/3 = dρg/6
d = 2P₀ / (ρg)
d = (2 × 10⁵ Pa) / (10³ kg/m³ × 10 m/s²)
d = 20 m
Depth of lake is 20 m
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Answered by
7
Answer:
15000m
Explanation:
as ,p= 1.5 atmosphere ( 1 atmosphere = 10 to the power 5 pa ) = 150000 pa
now , p = h× d×get
150000= h× 1g/cc× 10 N ( 9.8 N)
150000/10= h
15000 m = h or depth of Lake
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