A patient is given 200 mg of a drug with the formula: C32H34N6O10. How many mg of the drug is carbon?
1 answer:
200 mg of C₃₂H₃₄N₆O₁₀ contains 116 mg of carbon.
To obtain the answer to the question, we'll begin by calculating the molar mass of C₃₂H₃₄N₆O₁₀. This can be obtained as follow:
Molar mass of C₃₂H₃₄N₆O₁₀ = (12×32) + (1×34) + (14×6) + (16×10)
= 384 + 34 + 84 + 160
<h3>= 662 g/mol </h3>From the molar mass of C₃₂H₃₄N₆O₁₀, we can see that:
<h3>662 g of C₃₂H₃₄N₆O₁₀ contains 384 g of carbon. </h3>Converting 662 g of C₃₂H₃₄N₆O₁₀ to mg, we have
1 g = 1000 mg
Therefore,
662 g = 662 × 1000
<h3>662 g of C₃₂H₃₄N₆O₁₀ = 662000 mg</h3>Converting 384 g of carbon to mg, we have,
1 g = 1000 mg
Therefore,
384 g = 384 × 1000
<h3>384 g of carbon = 384000 mg</h3>Thus, we can say that:
662000 mg of C₃₂H₃₄N₆O₁₀ contains 384000 mg of carbon.
Finally, we shall determine the mass (in mg) of carbon in 200 mg of C₃₂H₃₄N₆O₁₀. This can be obtained as follow:
662000 mg of C₃₂H₃₄N₆O₁₀ contains 384000 mg of carbon.
Therefore, 200 mg of C₃₂H₃₄N₆O₁₀ will contain = = 116 mg of carbon.
Thus, we can conclude that 200 mg of C₃₂H₃₄N₆O₁₀ contains 116 mg of carbon.
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