A vessel has of oxygen at pressure P and temperature of . A small hole is made in it so that oxygen leaks out. How much oxygen leaks out if the final pressure is at and the temperature is ?
Step 1: Given information
Mass of oxygen is at temperature .
The final pressure is at and the temperature is .
Step 2: To find
We have to determine how much oxygen leaks out.
Step 3: Calculation
We know the relation,
Where, is the pressure, is the volume, is the mass given in grams, is the molar mass, is the ideal gas constant, and is the temperature in Kelvin.
By dividing and , we get
Now,
By substituting the given values, we get
Step 4: Calculating the mass of leaked oxygen
Calculate the mass of oxygen leaked as follows:
Therefore, the mass of oxygen leaked is .