A small lake has a surface area of 10,000 m². Assuming that the average depth of the lake is 2 m, how much heat is released when the average temperature of the water in the lake drops by 1C°?

Question

Quizplus · Accepted Answer

The correct answer is A.The heat released when the average temperature of the water in the lake drops by 1C° is given by the equation:Q = mcΔTwhere:Q is the heat released (in joules)m is the mass of the water (in kilograms)c is the specific heat capacity of water (4187 J/kg°C)ΔT is the change in temperature (in °C)The mass of the water in the lake is:m = ρVwhere:ρ is the density of water (1000 kg/m3)V is the volume of the lake (10,000 m2 × 2 m = 20,000 m3)Therefore, the mass of the water in the lake is:m = 1000 kg/m3 × 20,000 m3 = 20,000,000 kgThe heat released when the average temperature of the water in the lake drops by 1C° is:Q = 20,000,000 kg × 4187 J/kg°C × 1°C = 8.36 × 1010 JTherefore, the correct answer is A.

A Small Lake Has a Surface Area of 10,000 M2

A Small Lake Has a Surface Area of 10,000 M²