Question

what is the mass percentage of c in morphine, c₁₇h₁₉no₃? provide an answer to two decimal places. answer: ______ %

Explanation:

Step1: Calculate the molar mass of carbon in morphine

The molar mass of carbon (\(C\)) is \(12.01\space g/mol\). There are \(17\) carbon atoms in \(C_{17}H_{19}NO_{3}\). So the mass of carbon is \(17\times12.01 = 204.17\space g/mol\)

Step2: Calculate the molar mass of morphine

The molar mass of \(H = 1.008\space g/mol\), \(N=14.01\space g/mol\), \(O = 16.00\space g/mol\)
The molar mass of \(C_{17}H_{19}NO_{3}\) is \(17\times12.01+19\times1.008 + 14.01+3\times16.00\)
\(=204.17+19.152+14.01 + 48.00\)
\(=285.332\space g/mol\)

Step3: Calculate the mass percentage of carbon

The mass - percentage formula is \(\text{Mass}\%=\frac{\text{Mass of component}}{\text{Mass of compound}}\times100\%\)
Substitute the values: \(\text{Mass}\%=\frac{204.17}{285.332}\times 100\%\)
\(\approx71.56\%\)

Answer:

\(71.56\)