A mixture of He and SO2 is 1 : 16 by mass. What is the molar ratio of two gases in mixture?2 : 51 : 41 : 81 : 1
Question
A mixture of He and SO2 is 1 : 16 by mass. What is the molar ratio of the two gases in the mixture?
Options:
- 2 : 5
- 1 : 4
- 1 : 8
- 1 : 1
Solution
To find the molar ratio of the two gases in the mixture, we first need to know the molar mass of each gas.
The molar mass of Helium (He) is approximately 4 g/mol. The molar mass of Sulfur Dioxide (SO2) is approximately 64 g/mol (32 for Sulfur and 16*2 for Oxygen).
Given that the mass ratio of He and SO2 is 1:16, we can convert this to moles by dividing each mass by the respective molar mass.
For He: 1 g / 4 g/mol = 0.25 mol For SO2: 16 g / 64 g/mol = 0.25 mol
Therefore, the molar ratio of He to SO2 is 0.25 : 0.25, which simplifies to 1 : 1.
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