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QuestionFind the mass of 90,000 oxygen molecules given that one molecule has a mass of 5.3×10−235.3 \times 10^{-23} gram. Express in scientific notation.

Studdy Solution

STEP 1

Assumptions1. The mass of one oxygen molecule is 5.3×10−235.3 \times10^{-23} gram. We need to find the mass of90,000 molecules of oxygen

STEP 2

We can find the mass of90,000 molecules of oxygen by multiplying the mass of one molecule by the number of molecules.
Total mass=Mass of one moleculetimesNumber of moleculesTotal\, 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.
Total mass=5.3×10−23 gramtimes90,000Total\, mass =5.3 \times10^{-23}\, gram \\times90,000

STEP 4

Calculate the total mass.
Total mass=.3×10−23 gramtimes90,000=4.77×10−18 gramTotal\, mass =.3 \times10^{-23}\, gram \\times90,000 =4.77 \times10^{-18}\, gramThe mass of90,000 molecules of oxygen is 4.77×10−184.77 \times10^{-18} gram.

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