Question

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 questions 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

Answer 1

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

The mass of an oil tanker is equal to the mass of 5.6 moles of viruses.

Further Explanation:

To solve this problem, the following conversion factors must be used:

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

The steps in solving this problem includes:

1. Calculate the mass of 1 mole of virus using Avogadro's number.

2. Converting the mass of the oil tanker from kg to mg.

3. Calculating how many moles of virus are equivalent to the mass of the tanker in mg.

STEP 1: Calculate the mass of 1 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 there are only two significant figures in the given, the answer must be written with two significant figures only. Therefore,

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

STEP 2: Convert the mass of the oil tanker to mg.

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

STEP 3: Calculate the moles of virus which has the same mass as the tanker.

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

Learn More

1. Learn more about Avogadro's Number brainly.com/question/12980009
2. Learn more about mole conversion brainly.com/question/12972204
3. Learn more about moles brainly.com/question/12979299

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

Answer 2

A. The mass of one mole of the virus is calculated by multiplying the mass of a single virus by the Avogadro's number which is equal to 6.022 x 10^23. Performing this operation,

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

In correct number of significant figures, the answer would only have to be 5.4 x 10^12 mg. 

b. The number of moles of the virus that will have the same mass as the oil tanker is calculated by dividing the mass of the oil tanker by the mass of one mole of the virus. Note that doing division, both would have to have the same units. 

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

Simplifying,
               n = 6

In correct number of significant figures, the answer is 6.0.