Math  /  Numbers & Operations

QuestionUsing the Avogadro Number
A virus has a mass of 9.0×1012mg9.0 \times 10^{-12} \mathrm{mg} and an oil tanker has a mass of 3.0×107 kg3.0 \times 10^{7} \mathrm{~kg}. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits. \begin{tabular}{|l|l|} \hline What is the mass of 1 mole of viruses? & \\ Round your answer to 2 significant digits. & \\ \hline \begin{tabular}{l} How many moles of viruses have a mass equal to the mass \\ of an oil tanker? \end{tabular} & \\ Round your answer to 2 significant digits. & \\ \hline \end{tabular}

Studdy Solution
Perform the division to find the number of moles.
=3.0×10105.4198×109= \frac{3.0 \times 10^{10}}{5.4198 \times 10^{9}}
=5.5×100moles= 5.5 \times 10^{0} \, \text{moles}
Round to 2 significant digits:
=5.5moles= 5.5 \, \text{moles}
The mass of 1 mole of viruses is:
5.4×109kg/mole\boxed{5.4 \times 10^{9} \, \text{kg/mole}}
The number of moles of viruses that have a mass equal to the mass of the oil tanker is:
5.5moles\boxed{5.5 \, \text{moles}}

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