7. If 1.26 kg of uranium is converted into energy in a nuclear reactor, then the energyreleased by the reactor will be a.btimes 10^cdJ The values of a,b,c and d are __ __ __ and __ (Record your four-digit answer in the numerical -response section below.) Your answer: square square square square

To solve this problem, we need to use Einstein's mass-energy equivalence principle, given by the equation:<br /><br />\[ E = mc^2 \]<br /><br />where:<br />- \( E \) is the energy released,<br />- \( m \) is the mass converted into energy,<br />- \( c \) is the speed of light in a vacuum, approximately \( 3 \times 10^8 \, \text{m/s} \).<br /><br />Given that the mass \( m = 126 \, \text{kg} \), we can calculate the energy \( E \) as follows:<br /><br />\[ E = 126 \, \text{kg} \times (3 \times 10^8 \, \text{m/s})^2 \]<br /><br />\[ E = 126 \times 9 \times 10^{16} \, \text{J} \]<br /><br />\[ E = 1134 \times 10^{16} \, \text{J} \]<br /><br />\[ E = 1.134 \times 10^{19} \, \text{J} \]<br /><br />Thus, the energy released by the reactor is \( 1.134 \times 10^{19} \, \text{J} \).<br /><br />In the form \( b \times 10^{cd} \, \text{J} \), we have:<br />- \( b = 1.134 \)<br />- \( c = 19 \)<br />- \( d = 0 \)<br /><br />Therefore, the values of \( a, b, c, \) and \( d \) are: 1, 1, 9, and 0.<br /><br />The four-digit answer is: 1190