The total volume of the Pacific Ocean is estimated to be 720

The total volume of the Pacific Ocean is estimated to be 7.20 x 108 km3. A medium-sized atomic bomb produces 1.00 × 1015 J of energy upon explosion. Calculate the number of atomic bombs needed to release enough energy to raise the temperature of the water in the Pacific Ocean by 2.000° C. Assume the density of sea water to be 1.00 g/mL. Enter your answer in scientific notation ×10

Solution

volume = 7.2 x 10^8 km^3

             = 7.2 x 10^23 cm3

mass = volume x density

          = 7.2 x 10^23 x 1.00

mass = 7.2 x 10^23 g

Q = m Cp dT

    = 7.2 x 10^23 x 4.184 x 2.0

    = 6.02 x 10^24 J

number of atomic bombs needed = 6.02 x 10^24 / 1.0 x 10^15

number of atomic bombs needed = 6.0 x 10^9