Avirus 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.

Question

A virus has a mass of (9.0 	imes 10^{-12}) mg, and an oil tanker has a mass of (3.0 	imes 10^7) kg. Using this information, please answer the following questions, ensuring that your answers reflect the correct number of significant figures:

What is the mass of one mole of viruses in grams?
How many moles of viruses have a mass equal to that of the oil tanker?

Anonymous · Accepted Answer

5.426 x 10⁹ g5.55 mol Explanation:This type of problems involve the use of proportions , and the use of conversion of units to solve them.In the first part we have to determine the mass in grams of a mole of virus, so we have to convert the mass to grams and  multiply by avogadro´s number.9.010x 10⁻¹² mg x  ( 1 g / 1000 mg ) = 9.010 x 10⁻¹⁵ gmass of 1 mol viruses:9.010 x 10⁻¹⁵ g/ virus x ( 6.022 x 10²³ virus/mol ) = 5.426 x 10⁹ g /mol(Note we rounded to 4 significant figures since 9.010 has 4 significant figures.)For the second part convert the mass of the oil tanker to grams, and make use of the previous result to determine the # of moles of viruses which have the same mass.mass oil tanker = 3.01 x 10⁷ Kg x ( 1000 g /Kg ) = 3.01 x 10¹⁰ g3.01 x 10¹⁰ g x ( 1 mol virus / 5.426 x 10⁹ g ) = 5.55 mol( Note here we rounded to three significant figures since in the multiplication we have 3.01 with three significant figures. )The result is amazing and it is due to the very small mass of the virus. Imagine only 5.55 mol of virus in the same mass as that of an oil tanker !!!

Anonymous · Answer

Avogadro's number is just a constant and without units. Itis alike to a dozen or a gross, only much bigger. 1 mole means that the numberof particles existing is 6.022×10²³. If 1 virus has a mass of 9.0×10^-12 mg, then 10 viruseswould have a mass of (9.0 × 10^-12) × 10 = 9.0 × 10^ -11 mg. Likewise, a mole ofviruses will have a mass of (9.0 × 10^-12) (6.022×10²³) = 5,419,800,000,000 mg= 5.4 × 10^6 kg, correct to 2 significant figures.

Anonymous · Answer

NoStep-by-step explanation:

Anonymous · Answer

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: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.Since there are only two significant figures in the given, the answer must be written with two significant figures only. Therefore,STEP 2: Convert the mass of the oil tanker to mg.STEP 3: Calculate the moles of virus which has the same mass as the tanker.Learn MoreLearn more about Avogadro's Number Learn more about mole conversion Learn more about moles Keywords: Avogadro's number, mole conversion, mass conversion

Anonymous · Answer

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 mgIn 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 = 6In correct number of significant figures, the answer is 6.0.

Anonymous

Avirus 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.

6 Answers

AI-Powered Insights

Want to answer this question?

Categories

Tags

Related Questions