a virus has a mass of 9.0×10⁻¹² mg and an oil tanker has a mass of 3.0×10⁷ kg. use this information to…

a virus has a mass of 9.0×10⁻¹² mg and an oil tanker has a mass of 3.0×10⁷ kg. 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?

a virus has a mass of 9.0×10⁻¹² mg and an oil tanker has a mass of 3.0×10⁷ kg. 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?

Answer

Answer:

  1. $5.4\times10^{6}$
  2. $5.6\times10^{12}$

Explanation:

Step1: Convert mass of 1 virus to grams

$9.0\times 10^{-12}\text{ mg}=9.0\times 10^{-15}\text{ g}$ (since $1\text{ mg} = 10^{-3}\text{ g}$)

Step2: Calculate mass of 1 - mole of viruses

1 mole contains $6.022\times 10^{23}$ entities. Mass of 1 - mole of viruses $m = 9.0\times 10^{-15}\text{ g}\times6.022\times 10^{23}\approx5.4\times 10^{9}\text{ g}$

Step3: Convert mass of oil - tanker to grams

$3.0\times 10^{7}\text{ kg}=3.0\times 10^{10}\text{ g}$ (since $1\text{ kg}=10^{3}\text{ g}$)

Step4: Calculate number of moles of viruses equal to mass of oil - tanker

Number of moles $n=\frac{3.0\times 10^{10}\text{ g}}{5.4\times 10^{9}\text{ g/mol}}\approx5.6\times 10^{12}\text{ mol}$