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  • Molecular Formula Calculation: From Empirical to Molecular Weight
    Given information:

    - Empirical Formula: $C_4H_9$

    - Molecular Mass: 114 grams/mole

    Step 1: Determine the empirical formula mass

    The empirical formula mass is the sum of the atomic masses of the elements in the empirical formula.

    $C_4H_9$

    4 (12.01 g mol^-1) + 9 (1.01 g mol^-1)

    $=(4 × 12.01) (9 × 1.01) g/mol$

    =48.04 + 9.09 g/mol

    Empirical Formula Mass = 57.13 g/mole

    Step 2: Calculate the molecular formula

    The molecular formula is a multiple of the empirical formula.

    $$ n=\frac{\text{Molecular mass}}{\text{Empirical formula mass}}$$

    $$ =\frac{\text{114 g/mole}}{\text{57.13 g/mole}}=2$$

    So the molecular formula is twice the empirical formula:

    $$ (C_4H_9) *2 = C_8H_{18}$$

    Molecular Formula: \(C_8H_{18}\)

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