How much hydrogen (in liters at STP)is required to change 857 kg of diisobutylene to isooctane? Molar mass of diisobutylene is 112.2 grams. CH₃C(CH₃)2CH=C(CH₃)₂ + H₂ → CH₃C(CH₃)₂CH₂CH(CH₃)₂

Question

Quizplus · Accepted Answer

First, we need to balance the chemical equation:
C8H16 + H2 → C8H18

The molar mass of diisobutylene is 112.2 g/mol, so the number of moles in 857 kg is:

857,000 g / 112.2 g/mol = 7644.4 mol

Based on the balanced equation, we need one mole of H2 for every mole of diisobutylene, so we need 7644.4 mol of H2.

At STP (standard temperature and pressure), one mole of gas occupies 22.4 L of volume. Therefore, we need:

7644.4 mol x 22.4 L/mol = 171.1 x 10^3 L = 1.71 x 10^5 L or 1.71 x 10^15 cm^3

The closest answer choice in liters is B, 1.71 x 10^15 L.

How Much Hydrogen (In Liters at STP)is Required to Change