In this question, we have a situation described by the Boyle's law, which is an experimental gas law that calculates changes in volume and pressure in constant temperature, the formula for this law is:
P1V1 = P2V2
Where:
P1 = initial pressure, 0.327 atm
V1 = initial volume, 5.13 Liters
P2 = final pressure, 852 mmHg, which in atm is = 1.12 atm
V2 = final volume, ?
Now we add these values into the formula;
0.327 * 5.13 = 1.12 * V2
1.677 = 1.12V2
V2 = 1.677/1.12
V2 = 1.5 Liters is the new volume