The largest fusion bomb ever detonated (called the Tsar Bomba) was tested by the

Question

The largest fusion bomb ever detonated (called the Tsar Bomba) was tested by the Soviet Union in 1961. The explosion from the device released an energy of approximately 2.4e+17 J. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" />

(a) How many kilograms of matter were converted to energy?

____________________ kg

(b) If this bomb used the deuterium-deuterium fusion reaction, how many kilograms of deuterium were required?

____________________ kg

Please present the procedures, is really important to understand the results!!!

Explanation / Answer

You want to use the E=m*c^2 equation. c = the speed of light = 299 792 458 m/s
E=2.4e+17J. It's a simple plug and chug equation.

2.4e+17 = m*(299 792 458)^2
2.4e+17 / (299 792 458)^2 = m
m = 2.67036 kg

The second question is a bit more tricky:

You need these two equations to understand this problem:
E=delta(m)*c^2
delta(m) = mass of products from the rxn - mass of deuterium

You know your E, c, and delta(m).
Delta(m) is equal to m in the first part of the problem.

(6.68179914e-27)x - (6.68898928e-27)x = 2.67036
x = 3.713920369e29

mass of deuterium = (6.68898928e-27)x = (6.68898928e-27)(3.713920369e29) = 2484.237353 kg

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