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1.20 x 10^22 molecules NaOH to gram

Sagot :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 0.797 \ g \ NaOH}}[/tex]

Explanation:

1. Convert Molecules to Moles

First, we must convert molecules to moles using Avogadro's Number: 6.022*10²³. This tells us the number of particles in 1 mole of a substance. In this case, the particles are molecules of sodium hydroxide.

[tex]\frac {6.022*10^{23} \ molecules \ NaOH} {1 \ mol \ NaOH}}[/tex]

Multiply by the given number of molecules.

[tex]1.20*10^{22} \ molecules \ NaOH *\frac {6.022*10^{23} \ molecules \ NaOH} {1 \ mol \ NaOH}}[/tex]

Flip the fraction so the molecules cancel out.

[tex]1.20*10^{22} \ molecules \ NaOH *\frac {1 \ mol \ NaOH} {6.022*10^{23} \ molecules \ NaOH}}[/tex]

[tex]1.20*10^{22} *\frac {1 \ mol \ NaOH} {6.022*10^{23}}}[/tex]

[tex]\frac {1.20*10^{22} \ mol \ NaOH} {6.022*10^{23}}}[/tex]

[tex]0.0199269345732 \ mol \ NaOH[/tex]

2. Convert Moles to Grams

Next, we convert moles to grams using the molar mass.

We must calculate the molar mass using the values on the Periodic Table. Look up each individual element.

  • Na: 22.9897693 g/mol
  • O: 15.999 g/mol
  • H: 1.008 g/mol

Since the formula has no subscripts, we can simply add the molar masses.

  • NaOH: 22.9897693+15.999+1.008=39.9967693 g/mol

Use this as a ratio.

[tex]\frac {39.9967693 \ g \ NaOH }{1 \ mol \ NaOH}[/tex]

Multiply by the number of moles we calculated.

[tex]0.0199269345732 \ mol \ NaOH*\frac {39.9967693 \ g \ NaOH }{1 \ mol \ NaOH}[/tex]

The moles of sodium hydroxide cancel.

[tex]0.0199269345732 *\frac {39.9967693 \ g \ NaOH }{1}[/tex]

[tex]0.0199269345732 *39.9967693 \ g \ NaOH[/tex]

[tex]0.79701300498 \ g \ NaOH[/tex]

The original measurement of molecules has 3 significant figures, so our answer must have the same. For the number we calculated, that is the thousandth place. The 0 tells us to leave the 7 in the hundredth place.

[tex]0.797 \ g \ NaOH[/tex]

1.20*10²² molecules of sodium hydroxide is approximately 0.797 grams.

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