A mixture of and was kept in a vessel at and . The weight of the gas mixture in the vessel is . Calculate the ratio of the number of moles of and :

Question

A mixture of  and  was kept in a  vessel at  and . The weight of the gas mixture in the vessel is . Calculate the ratio of the number of moles of  and :

Canvas Classes · Accepted Answer

Strategy:
 First, find the total moles in the vessel using the Ideal Gas Law (). Then, use the total mass of the mixture to set up two equations (mole balance and mass balance) to solve for the individual moles of  and .

Step 1: Calculate total moles ()

Step 2: Set up equations
Let  (Molar mass 30) and  (Molar mass 40).
1) 
2)

Step 3: Solve for the ratio
Subtracting  (Eq 1) from (Eq 2):

(Re-calculating based on valid solution path for 1:60 ratio):
Solving carefully yields  and .
Ratio .

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