Hello, Kambri,
We can use a gas law relationship in a case where there in no gain or loss of the number of moles of the gas. It is:
P1V1/T1 = P2V2/T2
Where P, V, and T are pressure, volume and temperature (in Kelvin), respectively. The subscripts 1 and 2 mean initial and final.
Makeatable with the values and rearrange the equation to solve for the unknown, In this case, the unknown is P2. The volume remains constant in this problem, so V1 = V2
P2 = P1*(V1/V2)*(T2/T1) = P1*(T2/T1)
Set up a tale and enter the data Pay attention to see if the units cancel to leave kiloascals. Also be certain that temperatures are in Kelvin.
Before we do the calculation, make a prediction as to what should happen. We are heating a fixed volume of gas in a cosed chamber. Dangerous! I'll bet it goes up. How much? Well, by the ratio of the two temperatures, in K.
T1= 25 + 273 = 298K
T2 = 69 + 273 = 342K
T2/T1 is around 15%, so I would guestimate a 15% rise in pressure, to around 72 kPa. Now we are ready to judge wheter our answer is headed in the right direction and by the correct amount.
P2 = (63.0kPa)*(242K/298K) = 72.3 kPa
We guesstimated 72, so I'm happy and moving on,
Bob
