Question

1. methane (ch₄) is one of the world’s leading greenhouse gases, and one of the largest sources of it is cow burps and farts (methane is a byproduct of digestion in cows). a cow burp releases approximately 0.0114 grams of methane. how many moles is this?

Explanation:

Step1: Calculate molar mass of \(CH_4\)

The molar mass of \(C = 12.01\space g/mol\), molar mass of \(H= 1.008\space g/mol\). For \(CH_4\), \(M=(12.01 + 4\times1.008)\space g/mol=16.042\space g/mol\)

Step2: Use formula \(n=\frac{m}{M}\)

Given \(m = 0.0114\space g\), \(M = 16.042\space g/mol\). Then \(n=\frac{0.0114\space g}{16.042\space g/mol}\approx7.11\times10^{-4}\space mol\)

Answer:

\(7.11\times 10^{-4}\space mol\)