The mass of methane will produce as much energy as a single gram of uranium-235 1,287 kilograms of methane. Option D is correct.
<h3>What is uranium?</h3>
Uranium, with the atomic number 92 and the symbol U in the periodic table, is a weakly radioactive element. One of the heavy metals that may be used as a concentrated energy source is uranium.
Given data;
⇒One mole of U-235 = 235 grams
=> 1 gram of U-235 = 1/235 moles
⇒1 mole of U-235 = 6.023 x 10²³ atoms
The no of atoms is;
=> 1/235 moles of U-235
⇒N = 6.023 x 10²³/235 atoms
⇒N=25.6 x 10²⁰ atoms
If one atom of U-235 gives is 189 x 10⁶ eV energy,25.6 x 10²⁰ atoms of U-235 gives;
=> 25.6 x 10²⁰ atoms of U-235 gives;
E = 25.6 x 10²⁰ x 189 x 10⁶
E= 4.8 x 10²⁹ eV energy
One methane molecule produces;
E = 10 eV of energy
=> To produce 4.8 x 10²⁹ eV energy, no. of molecules required;
= 4.8 x 10²⁸
6.032 x 10²³ molecules of methane = 16 gms
=> 4.8 x 10²⁸ molecules of methane = 16 x 4.8 x 10²⁸/ 6.032 x 10²³ gms
m= 12.75 x 10⁵ gms
m= 1275 kilograms of methane
m≅ 1287 kilograms of methane
1 gram of U-235 has the same amount of energy as 1287 kilograms of methane.
Hence option D is correct,
To learn more about uranium refer to the link;
brainly.com/question/9099776
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