Question

a sweetened iced tea beverage contains 43.0 g of sucrose (c₁₂h₂₂o₁₁) in a total volume of 355 ml. calculate the molarity of sucrose in the drink.

Explanation:

Step1: Calculate the molar mass of sucrose

The molar mass of \(C_{12}H_{22}O_{11}\) is \(M=(12\times12 + 22\times1+11\times16)\space g/mol=(144 + 22+176)\space g/mol = 342\space g/mol\)

Step2: Calculate the number of moles of sucrose

The number of moles \(n=\frac{m}{M}\), where \(m = 43.0\space g\) and \(M = 342\space g/mol\). So \(n=\frac{43.0\space g}{342\space g/mol}\approx0.126\space mol\)

Step3: Convert the volume to liters

The volume \(V = 355\space mL=355\times10^{- 3}\space L = 0.355\space L\)

Step4: Calculate the molarity

The molarity formula is \(c=\frac{n}{V}\). Substitute \(n = 0.126\space mol\) and \(V=0.355\space L\) into the formula: \(c=\frac{0.126\space mol}{0.355\space L}\approx0.355\space mol/L\)

Answer:

\(0.355\space mol/L\)