A compound consisting of carbon and hydrogen consists of 67.90%
carbon by mass. If the compound is measure to have a mass of 37.897
Mg, how many grams of hydrogen are present in the compound?

Answers

Answer 1

Given that the compound consists of 67.90% carbon by mass and has a total mass of 37.897 Mg, we can calculate the mass of hydrogen in the compound.

Let's assume the mass percentage of hydrogen in the compound is denoted by "y." According to the law of constant composition, the sum of the mass percentages of carbon and hydrogen is equal to 100.

Mass% of Carbon + Mass% of Hydrogen = 100

Since the mass percentage of carbon is 67.90%, we can calculate the mass percentage of hydrogen as follows:

Mass% of Hydrogen = 100 - 67.9

Mass% of Hydrogen = 32.1

Therefore, the compound contains 32.1% of hydrogen by mass.

Next, we can calculate the mass of hydrogen present in the compound using the following formula:

Mass of hydrogen = Percentage of hydrogen x Total mass of the compound / 100

Substituting the given values, we find:

Mass of hydrogen = 32.1 x 37.897 Mg / 100

Now, we need to convert the mass from megagrams (Mg) to grams:

Mass of hydrogen = 32.1 x 37.897 Mg x 10^6 g / 100

Calculating this expression, we find:

Mass of hydrogen = 12.159 grams

There are 12.159 grams of hydrogen present in the compound.

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