Answer:
15.99 dm³
Explanation:
The molecular formula of Linoleic acid is C₁₈H₃₂O₂. As shown in attached figure, the Linoleic acid contains two double bonds hence we can say that in the Hydrogenation reaction of Linoleic acid 2 mole of H₂ are added across the two double bonds to make it saturated (Stearic acid).
The balance chemical equation for the hydrogenation of Linoleic acid is as follow:
C₁₈H₃₂O₂ + 2 H₂ → C₁₈H₃₆O₂
Calculating moles of Linoleic acid:
Moles = Mass / M/Mass
Moles = 100 g / 280 g/mol
Moles = 0.357 moles Linoleic acid
Calculating moles of Hydrogen:
According to equation:
1 mole C₁₈H₃₂O₂ required = 2 moles of H₂
So,
0.357 moles Linoleic acid will require = X moles of H₂
Solving for X,
X = 2 moles × 0.357 moles / 1 mole
X = 0.714 moles of H₂
Calculating volume of Hydrogen Gas:
Let us assume that the volume is calculated at standart temperature (273.15 K) and pressure (1 atm). We know that STP,
1 mole of gas occupies = 22.4 dm³ of volume
So,
0.714 moles of gas will occupy = X dm³ of volume
Solving for X,
X = 22.4 dm³ × 0.714 moles / 1 mole
X = 15.99 dm³
Note: As the answer is not 17.28 dm³ so it means that the conditions for gas like temperature and pressure are different and are not mentioned in statement. Hence, if the conditions are known then one can use ideal gas equation i.e. PV=nRT to solve for volume.
