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The empirical formula of a compound is CH2O. Which of the following could be its relative molecular mass: 42, 45, 126, 180?

Chemistry

ScanSolve AI Answer

Answer

D

Step-by-step solution

2 steps

To find the relative molecular mass of a compound with the empirical formula CH2O\text{CH}_2\text{O}, we first calculate the empirical formula mass (EFM).

  1. Calculate the empirical formula mass (EFM) of CH2O\text{CH}_2\text{O}.

    Given atomic masses:
    Relative atomic mass of Hydrogen (H) = 1.0
    Relative atomic mass of Carbon (C) = 12.0
    Relative atomic mass of Oxygen (O) = 16.0

    The empirical formula CH2O\text{CH}_2\text{O} contains 1 carbon atom, 2 hydrogen atoms, and 1 oxygen atom.

    EFM=(1×C)+(2×H)+(1×O)\text{EFM} = (1 \times \text{C}) + (2 \times \text{H}) + (1 \times \text{O}) EFM=(1×12.0)+(2×1.0)+(1×16.0)\text{EFM} = (1 \times 12.0) + (2 \times 1.0) + (1 \times 16.0) EFM=12.0+2.0+16.0\text{EFM} = 12.0 + 2.0 + 16.0 EFM=30.0\text{EFM} = 30.0
  2. Determine which of the given options is a multiple of the empirical formula mass.

    The relative molecular mass (RMM) of a compound is always a whole number multiple (nn) of its empirical formula mass:

    RMM=n×EFM\text{RMM} = n \times \text{EFM}

    We need to find an option that, when divided by 30.0, gives a whole number.

    Let's check the options:

    • (a) 42÷30.0=1.442 \div 30.0 = 1.4 (not a whole number)
    • (b) 45÷30.0=1.545 \div 30.0 = 1.5 (not a whole number)
    • (c) 126÷30.0=4.2126 \div 30.0 = 4.2 (not a whole number)
    • (d) 180÷30.0=6180 \div 30.0 = 6 (a whole number)

    Only option (d) is a whole number multiple of the empirical formula mass. This means that for this compound, n=6n=6, and its molecular formula would be (CH2O)6(\text{CH}_2\text{O})_6, which is C6H12O6\text{C}_6\text{H}_{12}\text{O}_6.

    The correct option is d).
    d) 180\boxed{\text{d) } 180}

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