Question

The total volume of the Pacific Ocean is estimated to be 7.2 ×
10^{8} km^{3}. A medium-sized atomic bomb produces
1.0 × 10^{15} 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 1°C.

Answer #1

**1km^3 = 1*10^15 cm^3**

**mass o f water = volume * density**

**
= 7.2*10^8*10^15*1 gr/cm^3**

**
= 7.2*10^23 grams**

**energy needed to raise 1 ^{0}c = mass * specific
heat capacity * change in temperature**

**
= 7.2*10^23 g * 4.184 J/ ^{0}C g *
1^{0}c**

**
= 30.12*10^23 joules**

**1 atom bomb releases
-------------------------------------------1.0*10^15
joules**

**? atom bombs
releases-----------------------------------------------30.12*10^23
joules**

**
= 30.12*10^23/1.0*10^15**

**
= 3012000000 atom bombs**

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