Question
A sample of a certain gas a volume of 1.25l at -125°c & 5.0atm the gas is compressed at 50atm to a volume of 0.325l what is the final temperature of the helium gas
Answers
GPT 3.5
To solve for the final temperature of the helium gas, we can use the combined gas law equation:
(P1V1)/T1 = (P2V2)/T2
Where:
P1 = initial pressure = 5.0 atm
V1 = initial volume = 1.25 L
T1 = initial temperature = -125°C = 148 K (converting Celsius to Kelvin)
P2 = final pressure = 50 atm
V2 = final volume = 0.325 L
T2 = final temperature (what we want to solve for)
Now we can plug in the values and solve for T2:
(5.0*1.25)/148 = (50*0.325)/T2
6.25/148 = 16.25/T2
T2 = 16.25 * 148 / 6.25
T2 = 385.6 K
Therefore, the final temperature of the helium gas is 385.6 K.
(P1V1)/T1 = (P2V2)/T2
Where:
P1 = initial pressure = 5.0 atm
V1 = initial volume = 1.25 L
T1 = initial temperature = -125°C = 148 K (converting Celsius to Kelvin)
P2 = final pressure = 50 atm
V2 = final volume = 0.325 L
T2 = final temperature (what we want to solve for)
Now we can plug in the values and solve for T2:
(5.0*1.25)/148 = (50*0.325)/T2
6.25/148 = 16.25/T2
T2 = 16.25 * 148 / 6.25
T2 = 385.6 K
Therefore, the final temperature of the helium gas is 385.6 K.