QuestionJune 21, 2025

Which of the following coefficients is correct in balancing the following chemical equation: A C_(57)H_(110)O_(6)(s)+BO_(2)(g)arrow CCO_(2)(g)+DH_(2)O(l) A=2,B=63,C=114 and D=110 A=110,B=163,C=114 and D=110 A=2,B=163,C=114 and D=110 A=110,B=163,C=114 and D=2

Which of the following coefficients is correct in balancing the following chemical equation: A C_(57)H_(110)O_(6)(s)+BO_(2)(g)arrow CCO_(2)(g)+DH_(2)O(l) A=2,B=63,C=114 and D=110 A=110,B=163,C=114 and D=110 A=2,B=163,C=114 and D=110 A=110,B=163,C=114 and D=2
Which of the following coefficients is correct in balancing the following chemical equation:
A C_(57)H_(110)O_(6)(s)+BO_(2)(g)arrow CCO_(2)(g)+DH_(2)O(l)
A=2,B=63,C=114 and D=110
A=110,B=163,C=114 and D=110
A=2,B=163,C=114 and D=110
A=110,B=163,C=114 and D=2

Solution
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Answer

A=2,B=163,C=114 and D=110 Explanation 1. Balance Carbon Atoms The compound C_{57}H_{110}O_{6} has 57 carbon atoms. Therefore, C = 114 to balance the carbon atoms on both sides. 2. Balance Hydrogen Atoms The compound C_{57}H_{110}O_{6} has 110 hydrogen atoms. Therefore, D = 55 to balance the hydrogen atoms on both sides. 3. Balance Oxygen Atoms Total oxygen from C_{57}H_{110}O_{6} is 6. From CO_2, we have 114 \times 2 = 228. From H_2O, we have 55 \times 1 = 55. Total oxygen needed is 228 + 55 - 6 = 277. Thus, B = 138.5, but since coefficients must be whole numbers, adjust accordingly. 4. Verify and Adjust Coefficients Multiply all coefficients by 2 to eliminate fractions: A=2, B=163, C=114, D=110.

Explanation

1. Balance Carbon Atoms<br /> The compound $C_{57}H_{110}O_{6}$ has 57 carbon atoms. Therefore, $C = 114$ to balance the carbon atoms on both sides.<br /><br />2. Balance Hydrogen Atoms<br /> The compound $C_{57}H_{110}O_{6}$ has 110 hydrogen atoms. Therefore, $D = 55$ to balance the hydrogen atoms on both sides.<br /><br />3. Balance Oxygen Atoms<br /> Total oxygen from $C_{57}H_{110}O_{6}$ is 6. From $CO_2$, we have $114 \times 2 = 228$. From $H_2O$, we have $55 \times 1 = 55$. Total oxygen needed is $228 + 55 - 6 = 277$. Thus, $B = 138.5$, but since coefficients must be whole numbers, adjust accordingly.<br /><br />4. Verify and Adjust Coefficients<br /> Multiply all coefficients by 2 to eliminate fractions: $A=2$, $B=163$, $C=114$, $D=110$.
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