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What is the mass in grams of 7.5 mol of C8H18?

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Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 856.74 \ g \ C_8H _{18}}}[/tex]

Explanation:

To convert from grams to moles, the molar mass is used. These values tells us the grams in 1 mole of a substance. They can be found on the Periodic Table (they are equivalent to the atomic masses, but the units are grams per mole).

We are given the compound C₈H₁₈. Look up the molar masses of the individual elements.

  • Carbon (C): 12.011 g/mol
  • Hydrogen (H): 1.008 g/mol

Notice there are subscripts that tell us the number of atoms of each element. We must multiply the molar masses by the subscripts.

  • C₈: 8(12.011 g/mol)=96.088 g/mol
  • H₁₈: 18(1.008 g/mol)=18.144 g/mol

Add these 2 values together to find the molar mass of the whole compound.

  • C₈H₁₈: 96.088 g/mol +18.144 g/mol=114.232 g/mol

Use this number as a ratio.

[tex]\frac{ 114.232 \ g \ C_8H_{18}}{1 \ mol \ C_8H_{18}}[/tex]

Multiply by the given number of moles: 7.5

[tex]7.5 \ mol \ C_8H_{18}*\frac{ 114.232 \ g \ C_8H_{18}}{1 \ mol \ C_8H_{18}}[/tex]

The moles of C₈H₁₈ will cancel each other out.

[tex]7.5 *\frac{ 114.232 \ g \ C_8H_{18}}{1}[/tex]

[tex]7.5 *{ 114.232 \ g \ C_8H_{18}}[/tex]

[tex]856.74 \ g \ C_8H _{18}[/tex]

7.5 moles of C₈H₁₈ is equal to 856.74 grams of C₈H₁₈

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