P 1 T 1= P 2 T 2 In an ideal gas, particles are considered to interact only when
ID: 971240 • Letter: P
Question
P1T1=P2T2
In an ideal gas, particles are considered to interact only when they collide, with no loss in energy or speed occurring during the collision. Studying ideal gases allows for simplifications, such as Gay-Lussac's law.
A. A sample of a gas is in a sealed container. The pressure of the gas is 805 torr , and the temperature is 18 C . If the temperature changes to 99 C with no change in volume or amount of gas, what is the new pressure, P2, of the gas inside the container?
B. Using the same sample of gas (P1 = 805 torr , T1 = 18 C ), we wish to change the pressure to 8050 torr with no accompanying change in volume or amount of gas. What temperature T2, in Celsius, is needed to reach this pressure?
Explanation / Answer
A)P1=805 torr
T1=18+273=291K
P2=?
T2=99+273=382K
P1/T1=P2/T2 (gay lussac's law)
P2=P1*T2/T1=805 torr*382K/291K=1056.73 torr
B)T2=P2*T1/P1=8050 torr*291K/805 torr=2910K
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.