Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. balance the following chemical reaction for photosynthesis carbon di…

Question

  1. balance the following chemical reaction for photosynthesis

carbon dioxide
co2
+
water
h2o
light

glucose
c6h12o6
+
oxygen
o2
photosynthesis

Explanation:

Step1: Balance carbon atoms

The unbalanced equation is \(CO_2 + H_2O
ightarrow C_6H_{12}O_6+O_2\). There are 6 carbon atoms in \(C_6H_{12}O_6\). So, we put a coefficient of 6 in front of \(CO_2\). The equation becomes \(6CO_2 + H_2O
ightarrow C_6H_{12}O_6+O_2\).

Step2: Balance hydrogen atoms

There are 12 hydrogen atoms in \(C_6H_{12}O_6\). Since each \(H_2O\) molecule has 2 hydrogen atoms, we put a coefficient of 6 in front of \(H_2O\). The equation is now \(6CO_2 + 6H_2O
ightarrow C_6H_{12}O_6+O_2\).

Step3: Balance oxygen atoms

On the left - hand side, in \(6CO_2\) there are \(6\times2 = 12\) oxygen atoms and in \(6H_2O\) there are \(6\times1=6\) oxygen atoms. So, total oxygen atoms on the left - hand side \(=12 + 6=18\). In \(C_6H_{12}O_6\) there are 6 oxygen atoms. Let the coefficient of \(O_2\) be \(x\). Then \(6 + 2x=18\). Solving for \(x\), we get \(2x=18 - 6=12\), so \(x = 6\).

Answer:

\(6CO_2+6H_2O
ightarrow C_6H_{12}O_6 + 6O_2\)