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Allisa
2 months ago
5

Problem page a virus has a mass of ×9.010−12mg and an oil tanker has a mass of ×3.0107kg . use this information to answer the qu

estions below. be sure your answers have the correct number of significant digits. what is the mass of 1 mole of viruses? g how many moles of viruses have a mass equal to the mass of an oil tanker? ×10
Chemistry
2 answers:
lions [2.9K]2 months ago
8 0

The mass for one mole of viruses is 5.4 x 10^12 mg.

Comparatively, the oil tanker's mass equals that of 5.6 moles of viruses.

Detailed Explanation:

To solve this, you must apply the following conversion factors:

1 \ mol \ = \ 6.022 \ x \ 10^{23} \ particles\\1 \ kg \ = 1000 \ g\\1 \ g \ = \ 1000 \ mg

The problem-solving steps include:

1. Compute the mass of one mole of viruses using Avogadro's number.

2. Convert the oil tanker's mass from kilograms to milligrams.

3. Calculate how many moles correspond to the tanker's converted mass.

Step 1: Calculate the mass of one mole of viruses.

mass \ of\ 1 \ mol \ virus \ = 1 \ mol \ virus \ (\frac{6.022 \ x \ 10^{23} \ viruses}{1 \ mol})(\frac{9.0 \ x \ 10^{-12} \ mg}{1 \ virus})\\ \\mass \ of\ 1 \ mol \ virus \ = \ 5.4198 \ x \ 10^{12} \ mg

Since only two significant figures are given, the final answer is rounded accordingly.

\boxed {mass \ of \ viruses \ = 5.4 \ x \ 10^{12} \ mg}

Step 2: Convert the tanker's mass into milligrams.

mass \ in \ mg \ = 3.0 \ x \ 10^{7} \ kg \ (\frac{1000 \ g}{1 \ kg} ) \ (\frac{1000 \ mg}{1 \ g})\\\\mass \ in \ mg = 3.0 \ x \ 10^{13} \ mg

Step 3: Find the number of moles matching the tanker's mass.

mol \ virus \ = 3.0 \ x \ 10^{3} \ mg \ (\frac{1 \ mol \ virus}{5.4 \ x \ 10^{12} \ mg} )\\\\\boxed {mol \ virus \ = 5.6 \ mol}

Additional Resources

  1. More on Avogadro's Number: brainly.com/question/12980009
  2. More on mole conversions: brainly.com/question/12972204
  3. More on moles: brainly.com/question/12979299

Keywords: Avogadro's number, mole conversion, mass conversion

VMariaS [2.9K]2 months ago
4 0
A. To find the mass of one mole of the virus, multiply the mass of a single virus particle by Avogadro's number (6.022 x 10^23):

   mass = (9.0 x 10^-12 mg) × (6.022 x 10^23) = 5.42 x 10^12 mg

Expressed properly with significant figures, it becomes 5.4 x 10^12 mg.

B. To determine how many moles of virus weigh the same as the oil tanker, divide the tanker's mass by the mass of one mole of virus, making sure units match.

       n = (3.0 x 10^7 kg) ÷ (5.4 x 10^12 mg × (1 g / 1000 mg) × (1 kg / 1000 g))

Simplifying gives:
               n = 6

Rounded properly, the answer is 6.0. 
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