A mixture of gases contains H2 and O2 gases in the ratio of 1: 4(w / w). What is the molar ratio of the two gases in the mixture?
Question
A mixture of gases contains H2 and O2 gases in the ratio of 1: 4(w / w). What is the molar ratio of the two gases in the mixture?
Solution
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First, we need to understand that the ratio given is a weight ratio, not a molar ratio. This means that for every 1 gram of H2, there are 4 grams of O2.
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Next, we need to convert these weights into moles. The molar mass of H2 (Hydrogen) is approximately 2 grams/mole and the molar mass of O2 (Oxygen) is approximately 32 grams/mole.
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To find the number of moles, we use the formula: moles = mass/molar mass.
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For H2: moles = 1g / 2 g/mole = 0.5 moles. For O2: moles = 4g / 32 g/mole = 0.125 moles.
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Therefore, the molar ratio of H2 to O2 is 0.5:0.125, which simplifies to 4:1.
So, the molar ratio of H2 to O2 in the mixture is 4:1.
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