Hydrogen and oxygen combine in the ratio of 1:8 by mass to form water. What mass of oxygen gas would be required to react completely with 3 g of hydrogen gas?



Answer :

To solve this problem, we need to use the given mass ratio between hydrogen and oxygen when they combine to form water, which is 1:8 by mass. This means that for every 1 part by mass of hydrogen, 8 parts by mass of oxygen are needed.

Let's break down the steps:

1. Understand the given ratio: The ratio of hydrogen to oxygen by mass is 1:8. This implies:
[tex]\[ \text{mass of oxygen} = 8 \times \text{mass of hydrogen} \][/tex]

2. Given mass of hydrogen: You are given that the mass of hydrogen is 3 grams.

3. Calculate the required mass of oxygen: Using the ratio from step 1, calculate the mass of oxygen needed:
[tex]\[ \text{mass of oxygen} = 8 \times 3 \, \text{grams} \][/tex]

4. Perform the multiplication:
[tex]\[ 8 \times 3 = 24 \, \text{grams} \][/tex]

Therefore, the mass of oxygen gas required to react completely with 3 grams of hydrogen gas is 24 grams.

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