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Chapter 2: Problem 36

A sample of \(\mathrm{H}_{2} \mathrm{SO}_{4}\) contains \(2.02 \mathrm{~g}\) of hydrogen, \(32.07 \mathrm{~g}\) of sulfur, and \(64.00 \mathrm{~g}\) of oxygen. How many grams of sulfur and grams of oxygen are present in a second sample of \(\mathrm{H}_{2} \mathrm{SO}_{4}\) containing \(7.27 \mathrm{~g}\) of hydrogen?

Short Answer

Expert verified
The mass of sulfur and oxygen in the second sample of \(\mathrm{H}_{2} \mathrm{SO}_{4}\) with \(7.27g\) of hydrogen are \(115.42g\) and \(230.20g\), respectively.

Step by step solution

01

Calculate mass ratios for first sample

Find the mass ratios of sulfur and oxygen to hydrogen in the first sample: - Sulfur to hydrogen ratio: \(\frac{\text{mass of sulfur}}{\text{mass of hydrogen}}\) - Oxygen to hydrogen ratio: \(\frac{\text{mass of oxygen}}{\text{mass of hydrogen}}\) Calculate mass ratios: - Mass of sulfur = \(32.07g\) - Mass of hydrogen = \(2.02g\) - Mass of oxygen = \(64.00g\) Sulfur to hydrogen ratio: \(\frac{32.07}{2.02} = 15.87\) Oxygen to hydrogen ratio: \(\frac{64.00}{2.02} = 31.68\)
02

Use mass ratios to find the mass of sulfur and oxygen in second sample

Knowing that the mass ratios will be the same for both samples, we can use the mass of hydrogen in the second sample to find the mass of sulfur and oxygen in it. - Mass of hydrogen (2nd sample) = \(7.27g\) Find the mass of sulfur in the second sample: Sulfur mass = mass of hydrogen (2nd sample) * sulfur to hydrogen ratio = \(7.27g * 15.87 = 115.42g\) Find the mass of oxygen in the second sample: Oxygen mass = mass of hydrogen (2nd sample) * oxygen to hydrogen ratio = \(7.27g * 31.68 = 230.20g\)
03

Present the answer

We have found the mass of sulfur and oxygen in the second sample: - Mass of sulfur = \(115.42g\) - Mass of oxygen = \(230.20g\)

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Most popular questions from this chapter

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