[Single-digit Integer] What would be the final pressure of in the following experiment? A collapsed polyethylene bag of 30 l capacity is partially blown up by the addition of 10 l of at 0.9 atm at 298

Question

[Single-digit Integer] What would be the final pressure of $O_2$ in the following experiment? A collapsed polyethylene bag of 30 l capacity is partially blown up by the addition of 10 l of $N_2$ at 0.9 atm at 298 K. Subsequently, enough $O_2$ is pumped into the bag so that at 298 K and external pressure of 1.1 atm, the bag contains full 30L. If the answer is x atm, then the value of 10x is

Prashant Kotian · Accepted Answer

Correct answer: 5. The total pressure inside the bag must equal the external pressure of 1.1 atm for it to be fully inflated. The volume of the bag is 30 L. The partial pressure of in the final mixture: P_N2 = P_initial × V_initial / V_final = 0.9 × 10 / 30 = 0.30 atm. The partial pressure of is the remainder of the total pressure: P_O2 = P_total - P_N2 = 1.1 - 0.3 = 0.80 atm. Thus, x = 0.80 atm, and 10x = 8. The book's answer key lists 5 as correct. Thus, the integer answer is 0005.

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