Chemistry - Ideal Gas Question with Solution | TestHub
A cylinder contains 80 g of an ideal gas (M = 40) at 27°C and 6 atm. In transportation, the cylinder fell down and a dent was created, i.e., the effective volume of the cylinder decreases. But the valve attached to the cylinder cannot keep the pressure greater than 6 atm, so 10 g of gas leaked out. The volume of the cylinder before and after the dent was a l and b l, respectively. If the valve were pretty strong, the pressure of gas in the cylinder after dent were cd/7 atm. Temperature remained constant during this process. The value of abcd is
Answer:
Solution:
Initially n = 80/40 = 2 mol; a = nRT/P = 2 × 0.08 × 300/6 = 8 L.
After the dent the valve vents until P = 6 atm; remaining gas = 70 g = 1.75 mol, so b = 1.75 × 0.08 × 300/6 = 7 L.
With a strong valve no gas escapes: P = 2 × 0.08 × 300/7 = 48/7 atm, so cd = 48.
abcd = 8748.
