A hydrocarbon (mathrm{H}_{2}left(mathrm{CH}_{2} ight)_{n}) is dissolved in a solvent (S) which freezes at (9.0^{circ} mathrm{C}). A solution

A hydrocarbon \(\mathrm{H}_{2}\left(\mathrm{CH}_{2}\right)_{n}\) is dissolved in a solvent \(S\) which freezes at \(9.0^{\circ} \mathrm{C}\). A solution which contains \(0.90 \mathrm{~g}\) of hydrocarbon per \(180 \mathrm{~g}\) of the solvent freezes at \(8.48^{\circ} \mathrm{C}\). Calculate the molecular weight of the hydrocarbon and its formula. \(K_{\mathrm{f}}=12 \mathrm{~K} / \mathrm{mol}-\mathrm{kg}\).