Use scientific notation to solve the problem.
-If you could generate energy by fusing the hydrogen in ordinary tap water, how much water would you need to meet the energy needs of the United States for 35 years? Assume that the energy Released by fusion of hydrogen in one liter of water is $7 \times 10 ^ { 13 }$ joules and that the U.S. annual Energy consumption i $1 \times 10 ^ { 20 }$ joules. Give your answer in scientific notation.
A) $5 \times 10 ^ { 7 }$ liters
B) $5 \times 10 ^ { - 7 }$ liters
C) $5 \times 10 ^ { 1.5 }$ liters
D) $1.4 \times 10 ^ { 7 }$ liters

Question

Use scientific notation to solve the problem.
-If you could generate energy by fusing the hydrogen in ordinary tap water, how much water would you need to meet the energy needs of the United States for 35 years? Assume that the energy Released by fusion of hydrogen in one liter of water is  $7 \times 10 ^ { 13 }$ joules and that the U.S. annual Energy consumption i $1 \times 10 ^ { 20 }$ joules. Give your answer in scientific notation. 
A) $5 \times 10 ^ { 7 }$ liters
B) $5 \times 10 ^ { - 7 }$ liters
C) $5 \times 10 ^ { 1.5 }$ liters
D) $1.4 \times 10 ^ { 7 }$ liters

Quizplus · Accepted Answer

First, calculate the total energy needed for 35 years: $1 \times 10^{20} \text{ joules/year} \times 35 \text{ years} = 3.5 \times 10^{21} \text{ joules}$. Then, divide this by the energy from one liter of water: $3.5 \times 10^{21} \text{ joules} \div 7 \times 10^{13} \text{ joules/liter} = 5 \times 10^{7} \text{ liters}$.

Use Scientific Notation to Solve the Problem 7×10137 \times 10 ^ { 13 }7×1013

Use Scientific Notation to Solve the Problem $7 \times 10 ^ { 13 }$