Math

QuestionFind the mass of 30,000 oxygen molecules given that one molecule has a mass of 5.3×10235.3 \times 10^{-23} gram. Answer in scientific notation: \square gram.

Studdy Solution

STEP 1

Assumptions1. The mass of one oxygen molecule is 5.3×10235.3 \times10^{-23} gram. . We need to find the mass of30,000 molecules of oxygen.

STEP 2

To find the total mass of30,000 molecules of oxygen, we need to multiply the mass of one molecule by the number of molecules.
Totalmass=Massofonemolecule×NumberofmoleculesTotal\, mass = Mass\, of\, one\, molecule \times Number\, of\, molecules

STEP 3

Now, plug in the given values for the mass of one molecule and the number of molecules to calculate the total mass.
Totalmass=5.3×1023gram×30,000Total\, mass =5.3 \times10^{-23}\, gram \times30,000

STEP 4

Calculate the total mass.
Totalmass=.3×1023gram×30,000=1.59×1019gramTotal\, mass =.3 \times10^{-23}\, gram \times30,000 =1.59 \times10^{-19}\, gramThe mass of30,000 molecules of oxygen is 1.59×10191.59 \times10^{-19} gram.

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