Question

The energy released when 0.375 kg of uranium are converted into energyis equal toa. 2.35 x 1014 Jb. 3.38 x 1016 JC. 4.53 x 1016 Jd. 7.69 x 1016 j

Answer 1

Given that the mass of uranium is m = 0.375 kg = 375 g.

We have to find the energy.

First, we need to find the number of moles.

The number of moles can be calculated as

`\begin{gathered} \text{Number of moles =}\frac{Given\text{ mass}}{atomic\text{ mass}} \\ =(375)/(235) \\ =1.59\text{ } \end{gathered}`

Next, we have to convert the number of moles into the number of atoms.

The number of atoms will be

`\begin{gathered} \text{Number of atoms=1.59}*\text{6.022}*10^(23) \\ =\text{ 9.57}*10^(23) \end{gathered}`

One atomic mass unit releases 931.5 MeV energy.

The energy can be calculated as

`\begin{gathered} E=\text{ number of atoms}*931.5MeV* atomic\text{ mass of uranium} \\ =9.57*10^(23)*(931.5*10^6eV)*235 \\ =\text{ }2.095\text{ }*10^(35)eV\text{ } \\ =\text{ 2.095}*10^(35)*1.6*10^(-19)\text{ J} \\ =\text{ 3.35 }*10^{16\text{ }}J \end{gathered}`