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released by the reactor expressed in scientific notation, will be a.bc x 1017 J. The value of a.bc is __ (Record your answer in the numerical-response section below.) Your answer: square square square square

Question

released by the reactor expressed in scientific notation, will be a.bc x 1017 J. The value of a.bc is __ (Record your answer in the numerical-response section below.) Your answer: square square square square

released by the reactor expressed in scientific notation, will be a.bc x 1017 J. The
value of a.bc is __
(Record your answer in the numerical-response section below.)
Your answer: square  square  square  square

Solution

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HazelProfessional · Tutor for 6 years

Answer

To find the energy released when 1.50 kg of uranium is converted into energy, we can use Einstein's mass-energy equivalence formula:<br /><br />\[ E = mc^2 \]<br /><br />where:<br />- \( E \) is the energy,<br />- \( m \) is the mass (1.50 kg in this case),<br />- \( c \) is the speed of light in a vacuum (\( c = 3 \times 10^8 \) m/s).<br /><br />Substituting the given values into the equation:<br /><br />\[ E = (1.50 \, \text{kg}) \times (3 \times 10^8 \, \text{m/s})^2 \]<br /><br />\[ E = 1.50 \times 9 \times 10^{16} \, \text{J} \]<br /><br />\[ E = 13.5 \times 10^{16} \, \text{J} \]<br /><br />Expressing this in scientific notation:<br /><br />\[ E = 1.35 \times 10^{17} \, \text{J} \]<br /><br />Thus, the value of \( a.bc \) is 1.35.<br /><br />Your answer: 1.35
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