A teacher asks a student to build a model of one molecule of an alkane. The model must contain 29 atoms in total.
The student proposes that the model should have the molecular formula C10H19\text{C}_{10}\text{H}_{19}C10H19.
The numbers of carbon and hydrogen atoms in an alkane are related by the general formula CnH2n+2\text{C}_n\text{H}_{2n+2}CnH2n+2.
Evaluate the student's proposed molecular formula.
Calculate the molecular formula of the alkane whose model would contain 29 atoms in total.