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How many milliliters of C5H8 can be made from 366 mL C5H12 ?

density of C5H12 = 0.620 g/mL
density of C5H8 = 0.681 g/mL
density of H2= 0.0899g/L
Please explain

1 Answer

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The number of Ml of C₅H₈ that can be made from 366 ml C₅H₁₂ is 314.7 ml of C₅H₈


calculation

step 1: write the equation for formation of C₅H₈

C₅H₁₂ → C₅H₈ + 2 H₂

Step 2: find the mass of C₅H₁₂

mass = density × volume

= 0.620 g/ml × 366 ml =226.92 g

Step 3: find moles Of C₅H₁₂

moles = mass÷ molar mass

from periodic table the molar mass of C₅H₁₂ = (12 x5) +( 1 x12) = 72 g/mol

moles = 226.92 g÷ 72 g/mol =3.152 moles

Step 4: use the mole ratio to determine the moles of C₅H₈

C₅H₁₂:C₅H₈ is 1:1 from equation above

Therefore the moles of C₅H₈ is also = 3.152 moles

Step 5: find the mass of C₅H₈

mass = moles x molar mass

from periodic table the molar mass of C₅H₈ = (12 x5) +( 1 x8) = 68 g/mol

= 3.152 moles x 68 g/mol = 214.34 g

Step 6: find Ml of C₅H₈

=mass / density

= 214.34 g/0.681 g/ml = 314.7 ml



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