Solution Found!
Suppose you are given two flasks at the same temperature,
Chapter , Problem 10.32(choose chapter or problem)
Suppose you are given two flasks at the same temperature, one of volume 2 L and the other of volume 3 L. The 2-L flask contains 4.8 g of gas, and the gas pressure is X atm. The 3-L flask contains 0.36 g of gas, and the gas pressure is 0.1X. Do the two gases have the same molar mass? If not, which contains the gas of higher molar mass?
Questions & Answers
QUESTION:
Suppose you are given two flasks at the same temperature, one of volume 2 L and the other of volume 3 L. The 2-L flask contains 4.8 g of gas, and the gas pressure is X atm. The 3-L flask contains 0.36 g of gas, and the gas pressure is 0.1X. Do the two gases have the same molar mass? If not, which contains the gas of higher molar mass?
ANSWER:
Step 1 of 2
Given:
Let the flask A has volume = 2L
Mass of gas = 4.8 g
Pressure = X atm
It is known that according to ideal gas equation, PV = nRT
Or, \(\mathrm{PV}=\frac{\text { Given mass }}{\text { Molar mass }} \times \mathrm{R} \times \mathrm{T}\)
Or, \(\text { Molar mass }=\frac{\text { Given mass } \times R \times T}{P V}\)
Substituting the values in the above equation, the molar mass can be calculated as,
\(\text { Molar mass }=\frac{4.8 \mathrm{~g} \times 0.0821 \mathrm{~L} \mathrm{~atm} \mathrm{~mol}^{-1} \times T}{X \mathrm{~atm} \times 2 \mathrm{~L}}=\frac{0.197 \mathrm{~g} / \mathrm{mol} \mathrm{T}}{X}\)