Question

if 5.0 moles of h₂ are reacted, how many grams of h₂o are produced? a. 90 grams b. 180 grams c. 36 grams d. 18 grams

Explanation:

Step1: Write the balanced chemical equation

$$2H_{2}+O_{2} ightarrow 2H_{2}O$$

From the equation, 2 moles of \(H_{2}\) produce 2 moles of \(H_{2}O\). So, 1 mole of \(H_{2}\) produces 1 mole of \(H_{2}O\).

Step2: Calculate the moles of \(H_{2}O\) produced

Given 5.0 moles of \(H_{2}\) react. Since mole - ratio of \(H_{2}\) to \(H_{2}O\) is \(1:1\), moles of \(H_{2}O\) produced \(n = 5.0\) moles.

Step3: Calculate the mass of \(H_{2}O\)

Molar mass of \(H_{2}O\), \(M=(2\times1 + 16)\space g/mol=18\space g/mol\)
Mass \(m=n\times M\)
Substitute \(n = 5.0\space mol\) and \(M = 18\space g/mol\)
\(m=5.0\space mol\times18\space g/mol = 90\space g\)

Answer:

a. 90 grams