Answer:
760.39 mmHg (approx.)
Explanation:
Okay so given the first set of information, we have:
T = 406 K (133+273)
V = 20 L
P = 1.1184 atm (converted for continuity reasons from mmHg)
R = 0.08206 L atm/mol K
Using PV = nRT (ideal gas law), we solve for n (moles of SO2).
n = PV/RT = (1.1184 atm * 20 L) / (0.08206 L atm/mol K * 406 K) = 0.6714 mol
Now that you have all the information, you can use the new volume and temperature to solve for pressure.
T = 454 K (181+273)
V = 25 L
n = 0.6714 mol
R = 0.08206 L atm/mol K
Using the ideal gas law again, we solve for P (pressure in atm).
P = nRT/V = (0.6714 mol * 0.08206 L atm/mol K * 454 K) / (25 L) = 1.0005 atm
Then we convert atm back to mmHg to get 760.39 mmHg.