Question

What is the final pressure in the container shown below after the valve is opened and the gases are allowed to flow? (The gases do not react)

N₂: 2.00 atm, O₂: 4.00 atm, V₁: 2.00 L, V₂: 3.00 L
a) 1.33 atm
b) 2.67 atm
c) 2.00 atm
d) 2.50 atm

Answer 1

The final pressure in the container is 2.67 atm

Step-by-step explanation:

The final pressure in the container can be calculated using the Ideal Gas Law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature. Since the gases do not react, the total number of moles of gas remains the same.

First, we need to calculate the total volume of the container after the gases mix. This can be done by adding the initial volumes of the gases:

Vtotal = V1 + V2 = 2.00 L + 3.00 L = 5.00 L

Next, we can use the Ideal Gas Law to find the final pressure:

Pfinal = (P1V1 + P2V2) / Vtotal = (2.00 atm * 2.00 L + 4.00 atm * 3.00 L) / 5.00 L = 2.67 atm

Therefore, the final pressure in the container is 2.67 atm (option b).