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closed cylinder contains 20 g helium gas and 64 g oxygen gas exerting a pressure of 10 atm. Partial pressure of oxygen in the cylinder is

Question

closed cylinder contains 20 g helium gas and 64 g oxygen gas exerting a pressure of 10 atm. Partial pressure of oxygen in the cylinder is

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Solution

To find the partial pressure of oxygen in the cylinder, we first need to find the mole fraction of oxygen.

Step 1: Find the number of moles of each gas.

The molar mass of helium (He) is approximately 4 g/mol and the molar mass of oxygen (O2) is approximately 32 g/mol.

Number of moles of He = mass/molar mass = 20g / 4g/mol = 5 moles Number of moles of O2 = mass/molar mass = 64g / 32g/mol = 2 moles

Step 2: Find the total number of moles.

Total moles = moles of He + moles of O2 = 5 moles + 2 moles = 7 moles

Step 3: Find the mole fraction of oxygen.

Mole fraction of O2 = moles of O2 / total moles = 2 moles / 7 moles = 0.286

Step 4: Find the partial pressure of oxygen.

Partial pressure of O2 = total pressure * mole fraction of O2 = 10 atm * 0.286 = 2.86 atm

So, the partial pressure of oxygen in the cylinder is 2.86 atm.

This problem has been solved

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