A mixture of gases contains H2 and O2 gases in the ratio of 1:4(w/w).w...
Introduction:
A mixture of gases contains H2 and O2 gases in the ratio of 1:4 (w/w). To determine the molar ratio of the two gases in the mixture, we need to understand the concept of molar mass and the relationship between mass and moles.
Explanation:
1. Molar Mass:
The molar mass of a substance is the mass of one mole of that substance. It is calculated by summing up the atomic masses of all the atoms in a molecule. The atomic mass of hydrogen (H) is approximately 1 g/mol, while the atomic mass of oxygen (O) is approximately 16 g/mol.
2. Mass Ratio:
In the given mixture, the ratio of H2 to O2 is 1:4 by weight. This means that for every gram of H2, there are 4 grams of O2.
3. Calculating Moles:
To calculate the molar ratio, we need to convert the masses of H2 and O2 into moles. Using the molar mass of H2 and O2, we can determine the number of moles for each gas.
- The molar mass of H2 is 2 g/mol. Therefore, the number of moles of H2 is equal to the mass of H2 (in grams) divided by its molar mass.
- The molar mass of O2 is 32 g/mol. Hence, the number of moles of O2 is equal to the mass of O2 (in grams) divided by its molar mass.
4. Molar Ratio:
The molar ratio is the ratio of the number of moles of one substance to the number of moles of another substance in a chemical reaction. In this case, the molar ratio of H2 to O2 can be determined by comparing the number of moles of H2 to the number of moles of O2.
Since the mass ratio of H2 to O2 is 1:4, let's assume we have 1 gram of H2. This means we will have 4 grams of O2.
- The number of moles of H2 can be calculated by dividing the mass of H2 (1 gram) by its molar mass (2 g/mol). Therefore, we have 0.5 moles of H2.
- The number of moles of O2 can be calculated by dividing the mass of O2 (4 grams) by its molar mass (32 g/mol). Thus, we have 0.125 moles of O2.
Therefore, the molar ratio of H2 to O2 in the mixture is 0.5:0.125, which simplifies to 4:1.
Conclusion:
The molar ratio of H2 to O2 in the given mixture of gases is 4:1. This means that for every four moles of O2, there is one mole of H2.
A mixture of gases contains H2 and O2 gases in the ratio of 1:4(w/w).w...
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