Answer:
Molecular formula of X is C₃H₈
Step-by-step explanation:
The compound X reacts producing carbon dioxide, CO₂ and water H₂O.
All carbon of X produce CO₂. Moles of hydrogen are twice moles of water.
Mass of carbon and hydrogen is:
Carbon:
24.01g CO₂ * (1mol / 44g) = 0.5457 moles CO₂ = 0.5457mol C
0.5457mol C * (12g / mol) = 6.5gC
Hydrogen:
13.10g H₂O * (1mol / 18g) = 0.7278moles H₂O * 2 = 1.4556 moles H
1.6375 moles H * (1g/mol) = 1.5g of H
The mass of C + H is 6.5g C + 1.5g H = 8.0g. That means there is no oxygen in the compound X.
Now, empirical formula, the simplest whole number ratio of atoms presents in a molecule (C and H), is:
C = 0.5457mol C / 0.5457mol C = 1
H = 1.4556mol H / 0.5457mol C = 2.667
As empirical formula must be given in whole numbers:
C = 1*3 = 3
H = 2.667*3 = 8
The empirical formula is:
C₃H₈
To confirm that this is the molecular formula of X we need to find the molar mass:
C= 12g/mol*3 = 36g/mol
H= 1g/mol*8 = 8g/mol
Molar mass: 36+8 = 44g/mol
Molecular formula of X is C₃H₈