Question

Question 20 a raindrop has a mass of 50.mg and the pacific ocean has a mass of ×7.081020kg . use this information to answer the questions below. be sure your answers have the correct number of significant digits.

Answer 1

The questions you can answer are

1) what is the mass of one mole of raindrops?, and

2) How many moles of raindrops are in the pacific ocean

Solutions:

1) what is the mass of one mole of raindrops?

mass = number of rain drops * mass of on rain drop

The number of rain drops in one mole of rain drops is 6.02 * 10^23

So, the mass of one mole of rain drops is

6.02 * 10 ^ 23 rain drops * 50. mg * (1 kg / 1,000,000 mg) = 3.01 * 10^ 19 kg

The correct number of significant digits is 2, because 50. mg has two signficant digits, so the answer must be shown as 3.0 * 10^ 19 kg.

2) How many moles of raindrops are in the pacific ocean

Use the proportion 1 mol / 3.0 * 10^19 kg = x mol / 7.08 * 10^20 kg

And you solve for x:

x = (7.08 * 10^20 kg) * 1 mol / (3.0 * 10^19 kg) = 2.36 * 10 = 23.6 moles

Which rounded to two significant digits is 24 moles of rain drops.

Answer 2

1. The mass of one mole of raindrops = 3.0.10¹⁹ kg

2. 24 moles of raindrops are in the pacific ocean

Further explanation

A mole is a unit of many particles (atoms, molecules, ions) where 1 mole is the number of particles contained in a substance that is the same amount as many atoms in 12 gr C-12

1 mole = 6.02.10²³ particles

While the number of moles can also be obtained by dividing the mass (in grams) with relative atomic/molecular mass

$\large{\boxed{\bold{mole\:=\:\frac{grams}{the\:relative\:mass\:of\:elements\:or\:the relative\:mass\:of\:molecules} }}}$

Questions to complete:

• 1. What is the mass of one mole of raindrops ? and
• 2. How many moles of raindrops are in the pacific ocean

1. A raindrop has a mass of 50 mg (5.10⁻² g) while in 1 mole raindrop there are 6.02.10²³ raindrop particles, so that the total mass of 1 mole of raindrop is:

6.02.10²³. 5.10⁻²= 3.01.10²² g

2 significant number = 3.0.10²² g = 3.0.10¹⁹ kg

2. The pacific ocean has a mass of × 7.08.10²⁰kg, then the number of moles of raindrop =

7.08.10²⁰kg / 3.0.10¹⁹ = 23.6 mole

2 significant number (round up) = 24 mole

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Keywords: mole, raindrop, mass, Avogadro, significant number