## Answers

Radius of earth = 6.38*10^6 m

surface area covered by water = 0.708 * 4*pi*r^2

= 3.62*10^14 m^2

volume of water = area*depth = 3.62*10^15 m^3

mass = volume*density = 3.62*10^15 *10^3

= 3.62*10^18 kg

(a) energy required = m*s*dt

= 3.62*10^18 * 4.18 * 3

= 4.54*10^19 J

(b) energy reaches the earth in 1 sec = 10^3 * 3.62*10^14 /2 = 1.81*10^17 J

time taken to heat by 3 degrees C = 4.54*10^19 /(1.81*10^17)

= 250.83 seconds.

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