QuestionJune 26, 2025

31. Determine the empirical formulas for the following compounds: (a) caffeine, C_(8)H_(10)N_(4)O_(2) (b) sucrose, C_(12)H_(22)O_(11) (c) hydrogen peroxide, H_(2)O_(2) (d) glucose, C_(6)H_(12)O_(6) (e) ascorbic acid (vitamin C), C_(6)H_(8)O_(6)

31. Determine the empirical formulas for the following compounds: (a) caffeine, C_(8)H_(10)N_(4)O_(2) (b) sucrose, C_(12)H_(22)O_(11) (c) hydrogen peroxide, H_(2)O_(2) (d) glucose, C_(6)H_(12)O_(6) (e) ascorbic acid (vitamin C), C_(6)H_(8)O_(6)
31. Determine the empirical formulas for the following compounds:
(a) caffeine, C_(8)H_(10)N_(4)O_(2)
(b) sucrose, C_(12)H_(22)O_(11)
(c) hydrogen peroxide, H_(2)O_(2)
(d) glucose, C_(6)H_(12)O_(6)
(e) ascorbic acid (vitamin C), C_(6)H_(8)O_(6)

Solution
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Answer

(a) Caffeine: C_{4}H_{5}N_{2}O ### (b) Sucrose: C_{12}H_{22}O_{11} (already simplest) ### (c) Hydrogen Peroxide: HO ### (d) Glucose: CH_{2}O ### (e) Ascorbic Acid: C_{3}H_{4}O_{3} Explanation 1. Determine the greatest common divisor (GCD) for each compound Identify the smallest whole number ratio of atoms in each compound by finding the GCD of the subscripts. 2. Divide each subscript by the GCD Simplify the molecular formula by dividing each subscript by the GCD to find the empirical formula.

Explanation

1. Determine the greatest common divisor (GCD) for each compound<br /> Identify the smallest whole number ratio of atoms in each compound by finding the GCD of the subscripts.<br /><br />2. Divide each subscript by the GCD<br /> Simplify the molecular formula by dividing each subscript by the GCD to find the empirical formula.
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