Question

8 multiple choice 1 point choose the correctly balanced equation for photosynthesis. \\(\mathrm{co}_2 + \mathrm{h}_2\mathrm{o} + \text{light} \
ightarrow \mathrm{c}_6\mathrm{h}_{12}\mathrm{o}_6 + \mathrm{o}_2\\) \\(2\mathrm{co}_2 + 2\mathrm{h}_2\mathrm{o} + \text{light} \
ightarrow 2\mathrm{c}_6\mathrm{h}_{12}\mathrm{o}_6 + 2\mathrm{o}_2\\) \\(6\mathrm{co}_2 + 6\mathrm{h}_2\mathrm{o} + \text{light} \
ightarrow \mathrm{c}_6\mathrm{h}_{12}\mathrm{o}_6 + 6\mathrm{o}_2\\) \\(12\mathrm{co}_2 + 12\mathrm{h}_2\mathrm{o} + \text{light} \
ightarrow 2\mathrm{c}_6\mathrm{h}_{12}\mathrm{o}_6 + 12\mathrm{o}_2\\) clear my selection

Explanation:

Step1: Recall Photosynthesis Equation

The general equation for photosynthesis is \( 6\text{CO}_2 + 6\text{H}_2\text{O}+\text{light}
ightarrow\text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 \). We check each option for atom balance (C, H, O).

Step2: Check Option 1

\( \text{CO}_2+\text{H}_2\text{O}+\text{light}
ightarrow\text{C}_6\text{H}_{12}\text{O}_6+\text{O}_2 \): C atoms: 1 vs 6 (unbalanced). H: 2 vs 12 (unbalanced). O: 3 vs 8 (unbalanced).

Step3: Check Option 2

\( 2\text{CO}_2 + 2\text{H}_2\text{O}+\text{light}
ightarrow2\text{C}_6\text{H}_{12}\text{O}_6+2\text{O}_2 \): C: 2 vs 12 (unbalanced). H: 4 vs 24 (unbalanced). O: 6 vs 28 (unbalanced).

Step4: Check Option 3

\( 6\text{CO}_2 + 6\text{H}_2\text{O}+\text{light}
ightarrow\text{C}_6\text{H}_{12}\text{O}_6+6\text{O}_2 \): C: 6 (left) vs 6 (right). H: 12 (left, \( 6\times2 \)) vs 12 (right). O: \( 6\times2 + 6\times1 = 18 \) (left), \( 6 + 6\times2 = 18 \) (right). Balanced.

Step5: Check Option 4

\( 12\text{CO}_2 + 12\text{H}_2\text{O}+\text{light}
ightarrow2\text{C}_6\text{H}_{12}\text{O}_6+12\text{O}_2 \): C: 12 vs 12, H: 24 vs 24, O: \( 24 + 12 = 36 \) vs \( 24 + 24 = 48 \) (unbalanced).

Answer:

C. \( 6\text{CO}_2 + 6\text{H}_2\text{O}+\text{light}
ightarrow\text{C}_6\text{H}_{12}\text{O}_6+6\text{O}_2 \) (Note: Assuming the third option is labeled as C, as per typical multiple - choice numbering. If the options were labeled A - D with the third being C, this is the correct one. The equation in the third option is the balanced photosynthesis equation.)