A mad scientist proposes to detonate a 1 megaton nuclear weapon at the center of

Question

A mad scientist proposes to detonate a 1 megaton nuclear weapon at the center of a reinforced cube, 1km on each side and filled with water in order to see how much the temperature would increase. He assumes that the cube does not break and all of the energy gets converted to heat. Calculate the result of the experiment. A mad scientist proposes to detonate a 1 megaton nuclear weapon at the center of a reinforced cube, 1km on each side and filled with water in order to see how much the temperature would increase. He assumes that the cube does not break and all of the energy gets converted to heat. Calculate the result of the experiment.

Explanation / Answer

1 megaton nuclear weapon, E = 4.18 x 1015 J

volume of water = 1000m *1000m*1000m = 10^9 m3

mass of water = voume *density = 10^9 * 1000kg/m3

m = 10^12 kg

specific heat of water, s = 4184J/kg.degree celcius

now E = ms* rise in tempeature

rise in tempeature = 4.18 x 1015 /(10^12*4184) = 0.999 degree celcius = 1 degree celcius

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