11 grams of carbon dioxide, co₂, is dissolved...
11 grams of carbon dioxide, co₂, is dissolved in 1000 ml of solution. determine the molarity (m).
Answer
# Explanation:
## Step1: Calculate the molar mass of \(CO_2\)
The molar mass of \(C\) is \(12.01\space g/mol\), and the molar mass of \(O\) is \(16.00\space g/mol\). For \(CO_2\), \(M = 12.01+(2\times16.00)=44.01\space g/mol\)
## Step2: Calculate the number of moles of \(CO_2\)
Use the formula \(n=\frac{m}{M}\), where \(m = 11\space g\) and \(M = 44.01\space g/mol\). So \(n=\frac{11}{44.01}\approx0.25\space mol\)
## Step3: Convert the volume of the solution to liters
Given \(V = 1000\space mL\). Since \(1\space L=1000\space mL\), then \(V = 1\space L\)
## Step4: Calculate the molarity
Use the formula \(M=\frac{n}{V}\). Substitute \(n = 0.25\space mol\) and \(V = 1\space L\). So \(M=\frac{0.25}{1}=0.25\space M\)
# Answer:
\(0.25\)