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frez
2 months ago
6

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.

Chemistry
2 answers:
Tems11 [2.7K]2 months ago
8 0

The two questions to be addressed are:

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

2) How many moles of raindrops exist within the Pacific Ocean?

Solutions:

1) Calculating the mass of one mole of raindrops:
Mass = number of raindrops × mass per raindrop.
Since one mole contains 6.02 × 10^23 particles,
Mass of one mole of raindrops = 6.02 × 10^23 raindrops × 50 mg × (1 kg / 1,000,000 mg) = 3.01 × 10^19 kg.
Because 50. mg has two significant digits, final answer must be rounded to two significant digits as 3.0 × 10^19 kg.

2) Number of moles in the Pacific Ocean:
Using proportionality 1 mol / 3.0 × 10^19 kg = x mol / 7.08 × 10^20 kg,
solve for x:
x = (7.08 × 10^20 kg) × (1 mol) / (3.0 × 10^19 kg) = 23.6 mol,
which rounds to 24 moles with two significant digits.

KiRa [2.9K]2 months ago
7 0

1. Mass of one mole of raindrops = 3.0 × 10¹⁹ kg

2. Pacific Ocean contains 24 moles of raindrops

Explanation

A mole represents a quantity of particles (atoms, molecules, ions), equal to the number of atoms in 12 grams of Carbon-12, which is 6.02 × 10²³ particles.

The number of moles can be found by dividing mass (in grams) by the relative atomic or molecular mass.

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

Tasks:

  • 1. Calculate the mass of one mole of raindrops
  • 2. Determine how many moles of raindrops are in the Pacific Ocean

1. Each raindrop weighs 50 mg (which is 5.0 × 10⁻² g). One mole contains 6.02 × 10²³ raindrops, so total mass is:

6.02 × 10²³ × 5.0 × 10⁻² = 3.01 × 10²² g

Rounded to two significant figures: 3.0 × 10²² g = 3.0 × 10¹⁹ kg

2. The Pacific Ocean mass is approximately 7.08 × 10²⁰ kg, so the number of moles is:

7.08 × 10²⁰ kg ÷ 3.0 × 10¹⁹ kg/mole = 23.6 moles

Rounded to two significant figures, that is 24 moles.

Further reading

Electrons in a pure gold coin

brainly.com/question/5354719

Moles of water

brainly.com/question/1405182

Moles of NaOH

brainly.com/question/4283309

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

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