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The new pressure can be calculated using the concept of partial pressures and Dalton's Law of Partial Pressures. Here's how:
1. Calculate the moles of gas in each flask using the Ideal Gas Law (PV = nRT):
Flask A: n = (PV)/(RT) = (2 atm
5.00 L) / (0.0821 L
atm/mol
K
T)
Flask B: n = (PV)/(RT) = (8 atm
3 L) / (0.0821 L
atm/mol
K
T)
2. Add the moles of gas from both flasks to find the total moles.
3. Calculate the total volume of the system (5.00 L + 3 L = 8.00 L).
4. Apply the Ideal Gas Law again to find the new pressure:
P = (n_total
R
T) / V_total
Since the temperature (T) is constant, it will cancel out in the calculations. You can directly substitute the calculated moles and total volume into the equation to get the final pressure.