2. In photosynthesis, plants use energy from the sun to produce glucose, C_(6)H_(12)O_(6), and oxygen from the reaction of carbon dioxide and water.Write a balanced equation for this reaction. a. What mass, in grams, of glucose is produced when 1.50 mol of water react with carbon dioxide? b. What mass of carbon dioxide, in grams is needed to react with 2.00 mol of H_(2)O in the photosynthetic reaction described above? fluoride as

To answer these questions, we need to use the balanced chemical equation for photosynthesis:<br /><br />\[ 6CO_2 + 6H_2O \rightarrow C_6H_{12}O_6 + 6O_2 \]<br /><br />a. To find the mass of glucose produced when 1.50 mol of water reacts with carbon dioxide, we need to use the stoichiometry of the reaction.<br /><br />From the balanced equation, we can see that 6 moles of water produce 1 mole of glucose. Therefore, 1.50 moles of water will produce:<br /><br />\[ \frac{1.50 \text{ mol H}_2O}{6 \text{ mol H}_2O/\text{mol C}_6H_{12}O_6} = 0.25 \text{ mol C}_6H_{12}O_6 \]<br /><br />Now, we can calculate the mass of glucose produced using its molar mass:<br /><br />\[ \text{Molar mass of C}_6H_{12}O_6 = 6(12.01) + 12(1.01) + 6(16.00) = 180.16 \text{ g/mol} \]<br /><br />So, the mass of glucose produced is:<br /><br />\[ 0.25 \text{ mol C}_6H_{12}O_6 \times 180.16 \text{ g/mol} = 45.04 \text{ g} \]<br /><br />Therefore, 45.04 grams of glucose is produced when 1.50 mol of water reacts with carbon dioxide.<br /><br />b. To find the mass of carbon dioxide needed to react with 2.00 mol of water, we need to use the stoichiometry of the reaction.<br /><br />From the balanced equation, we can see that 6 moles of water react with 6 moles of carbon dioxide. Therefore, 2.00 moles of water will react with:<br /><br />\[ \frac{2.00 \text{ mol H}_2O}{6 \text{ mol H}_2O/\text{mol CO}_2} = 0.333 \text{ mol CO}_2 \]<br /><br />Now, we can calculate the mass of carbon dioxide needed using its molar mass:<br /><br />\[ \text{Molar mass of CO}_2 = 12.01 + 2(16.00) = 44.01 \text{ g/mol} \]<br /><br />So, the mass of carbon dioxide needed is:<br /><br />\[ 0.333 \text{ mol CO}_2 \times 44.01 \text{ g/mol} = 14.66 \text{ g} \]<br /><br />Therefore, 14.66 grams of carbon dioxide is needed to react with 2.00 mol of water in the photosynthetic reaction described above.