A substance is found to have a molecular mass of 90 mass units and the simplest formula is $C_{2} H_{5} O$ . What is the chemical formula of the compound?

C_{4} H_{26} O

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C_{4} H_{10} O_{2}

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C_{3} H_{6} O_{3}

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C_{5} H_{14} O

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Solution

The correct option is B $C_{4} H_{10} O_{2}$
The simplest formula is $C_{2} H_{5} O$ , also called the empirical formula.
Empirical formula mass is $2 (12) + 5 (1) + 16 = 24 + 5 + 16 = 45$
The molecular mass is 90.
Value of $n = \frac{90}{45} = 2$
The chemical formula of the compound is $[C_{2} H_{5} O]_{n} = [C_{2} H_{5} O]_{n} = C_{4} H_{10} O_{2}$

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