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Exercise Here's a balanced chemical equation for a reaction that occurs in the body to metabolize glucose: C_(6)H_(12)O_(6)+6O_(2)arrow 6CO_(2)+6H_(2)O How many grams are needed to produce 100 g carbon dioxide? (M_(cose)=44.01g/molMMCC_(6)H_(12)O_(6))=180.16g/mol)
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To find out how many grams of glucose are needed to produce 100 grams of carbon dioxide, we need to use the balanced chemical equation provided:
From the equation, we can see that 1 mole of glucose (
) produces 6 moles of carbon dioxide (
).First, let's calculate the moles of carbon dioxide produced from 100 grams:Moles of
=
Since 1 mole of glucose produces 6 moles of carbon dioxide, we need to find out how many moles of glucose are required to produce 2.27 moles of carbon dioxide:Moles of glucose needed =
Now, let's convert the moles of glucose to grams using the molar mass of glucose (180.16 g/mol):Grams of glucose needed =
Therefore, approximately 68.27 grams of glucose are needed to produce 100 grams of carbon dioxide.