QuestionJuly 17, 2025

Which of the following correctly gives the correct coefficients for the reaction below? N_(2)H_(4)+H_(2)O_(2)arrow N_(2)+H_(2)O 2,4,2,4 2,4,2,8 1,2,1,1 1,2,1,4 1,4,1,4

Which of the following correctly gives the correct coefficients for the reaction below? N_(2)H_(4)+H_(2)O_(2)arrow N_(2)+H_(2)O 2,4,2,4 2,4,2,8 1,2,1,1 1,2,1,4 1,4,1,4
Which of the following correctly gives the correct coefficients for the reaction below? N_(2)H_(4)+H_(2)O_(2)arrow N_(2)+H_(2)O 2,4,2,4 2,4,2,8 1,2,1,1 1,2,1,4 1,4,1,4

Solution
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Answer

1,2,1,4 Explanation 1. Write the unbalanced equation N_{2}H_{4} + H_{2}O_{2} \rightarrow N_{2} + H_{2}O 2. Balance nitrogen atoms 1 molecule of N_{2}H_{4} gives 1 molecule of N_{2}, so coefficients for N_{2}H_{4} and N_{2} are both 1. 3. Balance hydrogen atoms N_{2}H_{4} has 4 H atoms. To balance with H_{2}O, we need 4 H_{2}O molecules (8 H atoms total). 4. Balance oxygen atoms 4 H_{2}O requires 4 O atoms. Thus, 2 H_{2}O_{2} molecules provide 4 O atoms. 5. Verify all elements Check each element: - N: 1 N_{2}H_{4} → 1 N_{2} - H: 1 N_{2}H_{4} + 4 H_{2}O = 8 H atoms - O: 2 H_{2}O_{2} → 4 H_{2}O

Explanation

1. Write the unbalanced equation<br /> $N_{2}H_{4} + H_{2}O_{2} \rightarrow N_{2} + H_{2}O$<br /><br />2. Balance nitrogen atoms<br /> 1 molecule of $N_{2}H_{4}$ gives 1 molecule of $N_{2}$, so coefficients for $N_{2}H_{4}$ and $N_{2}$ are both 1.<br /><br />3. Balance hydrogen atoms<br /> $N_{2}H_{4}$ has 4 H atoms. To balance with $H_{2}O$, we need 4 $H_{2}O$ molecules (8 H atoms total).<br /><br />4. Balance oxygen atoms<br /> 4 $H_{2}O$ requires 4 O atoms. Thus, 2 $H_{2}O_{2}$ molecules provide 4 O atoms.<br /><br />5. Verify all elements<br /> Check each element: <br />- N: 1 $N_{2}H_{4}$ → 1 $N_{2}$<br />- H: 1 $N_{2}H_{4}$ + 4 $H_{2}O$ = 8 H atoms<br />- O: 2 $H_{2}O_{2}$ → 4 $H_{2}O$
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