A container with a volume of 14 L filled with gas at 2.00 atm at 283k. What will be the new pressure temperature increase to 321k?
P1 = 2.00 atm
T1 = 283 K
V1 = V2 = 14 L = constant
P2 = ???
T2 = 321 K
Solution:
Since the volume and amount of gas remain unchanged, Gay-Lussac's law can be used.
Gay-Lussac's law can be expressed as: P1/T1 = P2/T2
P1T2 = P2T1
To find the new pressure, solve the equation for P2:
P2 = P1T2/T1
P2 = (2.00 atm × 321 K) / (283 K) = 2.27 atm
P2 = 2.27 atm
Answer: The new pressure will be 2.27 atm
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