Chemistry - Ideal Gas Question with Solution | TestHub
A cylinder contains 64 g of an ideal gas (M = 64) at 27°C and 3 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 3 atm, so 8 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 = 64/64 = 1 mol; a = nRT/P = 1 × 0.08 × 300/3 = 8 L.
After the dent the valve vents until P = 3 atm; remaining gas = 56 g = 0.875 mol, so b = 0.875 × 0.08 × 300/3 = 7 L.
With a strong valve no gas escapes: P = 1 × 0.08 × 300/7 = 24/7 atm, so cd = 24.
abcd = 8724.
