Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

daniel is conducting an experiment in his chemistry class. he needs to …

Question

daniel is conducting an experiment in his chemistry class. he needs to identify which of the following chemical equations is balanced. which one should he choose?
h₂ + o₂ ----- 2h₂o₄
4al + 3o₂ ----- 2al₂o₃
ch₄ + o₂ ----- co₂ + 2h₂o

Explanation:

Step1: Check hydrogen and oxygen atoms in \(H_2 + O_2\to2H_2O\)

For hydrogen: Left - hand side has \(2\) atoms (from \(H_2\)), right - hand side has \(4\) atoms (from \(2H_2O\)). For oxygen: Left - hand side has \(2\) atoms (from \(O_2\)), right - hand side has \(2\) atoms (from \(2H_2O\)). The hydrogen atoms are not balanced.

Step2: Check aluminium and oxygen atoms in \(4Al + 3O_2\to2Al_2O_3\)

For aluminium (\(Al\)): Left - hand side has \(4\) atoms (from \(4Al\)), right - hand side has \(4\) atoms (from \(2Al_2O_3\)). For oxygen (\(O\)): Left - hand side has \(6\) atoms (from \(3O_2\)), right - hand side has \(6\) atoms (from \(2Al_2O_3\)). Both types of atoms are balanced.

Step3: Check carbon, hydrogen and oxygen atoms in \(CH_4+O_2\to CO_2 + 2H_2O\)

For carbon (\(C\)): Left - hand side has \(1\) atom (from \(CH_4\)), right - hand side has \(1\) atom (from \(CO_2\)). For hydrogen (\(H\)): Left - hand side has \(4\) atoms (from \(CH_4\)), right - hand side has \(4\) atoms (from \(2H_2O\)). For oxygen (\(O\)): Left - hand side has \(2\) atoms (from \(O_2\)), right - hand side has \(4\) atoms ( \(2\) from \(CO_2\) and \(2\) from \(2H_2O\)). The oxygen atoms are not balanced.

Answer:

\(4Al + 3O_2\to2Al_2O_3\)