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Chapter 1: Problem 67

A sample of ascorbic acid (vitamin C) is synthesized in the laboratory. It contains \(1.50 \mathrm{~g}\) of carbon and \(2.00 \mathrm{~g}\) of oxygen. Another sample of ascorbic acid isolated from citrus fruits contains $6.35 \mathrm{~g}$ of carbon. According to the law of constant composition, how many grams of oxygen does it contain?

Short Answer

Expert verified
The second sample of ascorbic acid isolated from citrus fruits contains \(4.76 \mathrm{~g}\) of oxygen, according to the law of constant composition.

Step by step solution

01

Calculate the ratio between the masses of carbon and oxygen in the first sample

First, we need to find the ratio between the masses of carbon and oxygen in the first sample. We can calculate this by dividing the mass of carbon by the mass of oxygen. Ratio = mass of carbon / mass of oxygen In the first sample, we have: Mass of carbon = 1.50 g Mass of oxygen = 2.00 g So the ratio between the masses of carbon and oxygen is: Ratio = (1.50 g)/(2.00 g)
02

Calculate the mass of oxygen in the second sample.

Now, we will use the calculated ratio from Step 1 to find the mass of oxygen in the second sample. We do this by multiplying the mass of carbon in the second sample by the ratio we found in Step 1. Mass of carbon in the second sample = 6.35 g Ratio (from Step 1) = (1.50 g)/(2.00 g) Mass of oxygen in the second sample = (6.35 g) × (1.50 g/2.00 g)
03

Calculate the final mass of oxygen in the second sample.

In this step, we will perform the actual multiplication to find the mass of oxygen in the second sample. Mass of oxygen = (6.35 g) × (1.50 g/2.00 g) = (6.35 g) × (0.75) Mass of oxygen = 4.76 g According to the law of constant composition, the second sample of ascorbic acid isolated from citrus fruits contains 4.76 grams of oxygen.

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Most popular questions from this chapter

Indicate which of the following are exact numbers: (a) the mass of a 945-mL can of coffee, \((\mathbf{b})\) the number of students in your chemistry class, \((\mathbf{c})\) the temperature of the surface of the Sun, \((\mathbf{d})\) the mass of a postage stamp, \((\mathbf{e})\) the number of milliliters in a cubic meter of water, (f) the average height of NBA basketball players.

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