Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider this hypothetical reaction: a + 4b → c + 3d. assume that the e…

Question

consider this hypothetical reaction: a + 4b → c + 3d. assume that the equation is balanced.
which mole ration will produce the most product?
a/b
3a/4b
a/4b
4a/b

Explanation:

Step1: Understand Stoichiometry

The balanced reaction is \( A + 4B
ightarrow C + 3D \). The stoichiometric mole ratio of \( A \) to \( B \) is \( \frac{1\ A}{4\ B} \) (or \( \frac{A}{4B} \)). At this ratio, reactants are completely consumed, maximizing product.

Step2: Analyze Other Ratios

  • For \( \frac{A}{B} \): More \( A \) relative to \( B \) (since \( 1/1 > 1/4 \)), so \( B \) is limiting, less product.
  • For \( \frac{3A}{4B} \): \( 3/4 > 1/4 \), more \( A \) than stoichiometric, \( B \) limits, less product.
  • For \( \frac{4A}{B} \): Far more \( A \) than \( B \), \( B \) is severely limiting, least product.
  • For \( \frac{A}{4B} \): Matches stoichiometry, both reactants used fully, max product.

Answer:

A/4B