Final answer:
Without additional information, the chemical formula for the compound with a molar mass of 372.53 g/mol based on an empirical formula of C5H7N can be estimated as C25H35N5 by multiplying the individual subscripts in the empirical formula by approximately 5, which is close to the quotient of the molar mass of the compound divided by the molar mass of the empirical formula.
Step-by-step explanation:
The chemical formula for the compound with a molar mass of 372.53 g/mol cannot be accurately determined without additional information.
However, if we are given the empirical formula as C5H7N with an empirical formula mass of 81.13 g/mol, we can calculate the molecular formula by dividing the molar mass of the compound by the molar mass of the empirical formula. The quotient will be the number of empirical formula units that make up the molecular formula.
By dividing 372.53 g/mol by 81.13 g/mol, we get approximately 4.59, which suggests that the empirical formula must be multiplied by a whole number close to this. Since 4.59 is close to 5, we multiply the subscript of each element in the empirical formula by 5.
The molecular formula would therefore be (C5H7N) x 5 = C25H35N5. Please note that none of the answer choices (a) C₆H₇N, (b) C₇H₆N, (c) C₆H₈N, or (d) C₅H₇N matches the molecular formula derived from these calculations, suggesting that there could be an error in the question or the answer choices provided.