what is the percent by mass of carbon in c₁₀h₁₄n₂? use %element = \\frac{total mass of element in…

what is the percent by mass of carbon in c₁₀h₁₄n₂? use %element = \\frac{total mass of element in compound}{molar mass of compound}×100. 8.71% 17.27% 69.50% 74.02%

what is the percent by mass of carbon in c₁₀h₁₄n₂? use %element = \\frac{total mass of element in compound}{molar mass of compound}×100. 8.71% 17.27% 69.50% 74.02%

Answer

Explanation:

Step1: Calculate molar mass of carbon in the compound

The atomic mass of carbon (C) is approximately 12.01 g/mol. In (C_{10}H_{14}N_2), there are 10 carbon atoms. So the total mass of carbon in the compound is (10\times12.01 = 120.1) g/mol.

Step2: Calculate molar mass of the compound

The atomic mass of hydrogen (H) is approximately 1.01 g/mol and there are 14 H - atoms, so the mass of hydrogen is (14\times1.01=14.14) g/mol. The atomic mass of nitrogen (N) is approximately 14.01 g/mol and there are 2 N - atoms, so the mass of nitrogen is (2\times14.01 = 28.02) g/mol. The molar mass of (C_{10}H_{14}N_2) is (120.1+14.14 + 28.02=162.26) g/mol.

Step3: Calculate the percent - by - mass of carbon

Using the formula (%\text{Element}=\frac{\text{total mass of element in compound}}{\text{molar mass of compound}}\times100), we substitute the values: (\frac{120.1}{162.26}\times100\approx74.02%)

Answer:

74.02%