Answer:
30.0 L
Step-by-step explanation:
We can use the combined gas law.
P1V1/T1 = P2V2/T2
where P, V, and T are the pressures, volumes and temperatures for the initial (P1,V1,T1) and final (P2,V2,T2) states. All temperatures must be in Kelvin (add 273,15 to C to make K).
We are given temperatures and the initial volume. Nothing is mentioned about pressures. The unknown is the final volume, V2..
Reorganize the combined gas law to solve for V2:
V2 = V1(T2/T1)(P1/P2)
Note how the temperature and pressure terms are organized. They are ratios of the starting and ending states. This helps keep things organized and easier to solve (unit cancellations are easier).
No information is given on pressures, so we have to assume they remain constant. Let's assign 1 atm for now, but we'll see that the pressure ratio term cancels, regardless of value. The term (P1/P2) reduces to 1, and the units cancel.
Enter the data:
V2 = V1(T2/T1)(P1/P2)
V2 = (35 L)(298.2K/348.2)(1atm/1atm)
V2 = 30.0 L