Question

A liter of water contains about (first image) molecules. A certain river discharges about (second image) L of water every second. About how many molecules does the river discharge every​ minute? Write your answer in scientific notation.

Answer 1

Answer: 4.623 * 10^34 molecules

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Work Shown:

1 second = 2.3 * 10^7 liters of water

60*1 second = 60*2.3* 10^7 liters of water

60 seconds = 138 * 10^7 liters of water

1 minute = (1.38 * 10^2) * 10^7 liters of water

1 minute = 1.38 * (10^2*10^7) liters of water

1 minute = 1.38 * 10^(2+7) liters of water

1 minute = 1.38 * 10^9 liters of water

The river discharges 1.38 * 10^9 liters of water per minute.

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1 liter = 3.35 * 10^25 molecules

1.38 * 10^9*1 liter = 1.38 * 10^9*3.35 * 10^25 molecules

1.38 * 10^9 liters = (1.38*3.35) * (10^9*10^25) molecules

1.38 * 10^9 liters = 4.623 * 10^(9+25) molecules

1.38 * 10^9 liters = 4.623 * 10^34 molecules

1 minute = 4.623 * 10^34 molecules

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Every minute, about 4.623 * 10^34 molecules of water are discharged from the river.