Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

4. calculate: if the units are correct, multiply or divide the numbers …

Question

  1. calculate: if the units are correct, multiply or divide the numbers to solve the problem.

a. how many moles of co will react with 1.75 moles of fe₂o₃?
reproduction for educational use only. public sharing or posting prohibited. © 2020 explorelearning™ all rights reserved
b. turn on show numerical result. were you correct?

  1. practice: turn off show units and show numerical result. click new question, and use what youve learned to solve another stoichiometry problem. for each problem, list the units given, the units asked for, and the solution.

Explanation:

Step1: Write the balanced chemical equation

The reaction between \(CO\) and \(Fe_2O_3\) is \(Fe_2O_3 + 3CO
ightarrow 2Fe+3CO_2\). From the equation, the mole ratio of \(Fe_2O_3\) to \(CO\) is \(1:3\).

Step2: Use the mole ratio to calculate moles of \(CO\)

Let \(n_{CO}\) be the moles of \(CO\) and \(n_{Fe_2O_3}=1.75\) moles. Using the ratio \(\frac{n_{CO}}{n_{Fe_2O_3}}=\frac{3}{1}\), so \(n_{CO}=3\times n_{Fe_2O_3}\).
Substitute \(n_{Fe_2O_3} = 1.75\) moles: \(n_{CO}=3\times1.75\) moles.

Answer:

\(5.25\) moles

For part B, since the user has to check against the "Show numerical result" (which we assume would show \(5.25\) if the calculation above is correct), if the calculation in part A was done as \(3\times1.75 = 5.25\), then the answer is yes (assuming the simulation's correct answer is \(5.25\)). But without seeing the actual "Show numerical result" in the simulation, we can only base it on the stoichiometric calculation.