Question
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 in °c
Answers
GPT 3.5
To find the final temperature of the helium gas, we can use the combined gas law formula:
P1V1/T1 = P2V2/T2
Where:
P1 = initial pressure = 5.0 atm
V1 = initial volume = 1.25 L
T1 = initial temperature = -125°C + 273.15 K = 148.15 K
P2 = final pressure = 50 atm
V2 = final volume = 0.325 L
T2 = final temperature
Plugging in these values:
(5.0 atm)(1.25 L) / 148.15 K = (50 atm)(0.325 L) / T2
6.25 / 148.15 = 16.25 / T2
T2 = (16.25 x 148.15) / 6.25
T2 = 387.993 K
Therefore, the final temperature of the helium gas is 387.993 K. To convert this to Celsius, we subtract 273.15:
387.993 K - 273.15 = 114.843 °C
So, the final temperature of the helium gas is approximately 114.843°C.
P1V1/T1 = P2V2/T2
Where:
P1 = initial pressure = 5.0 atm
V1 = initial volume = 1.25 L
T1 = initial temperature = -125°C + 273.15 K = 148.15 K
P2 = final pressure = 50 atm
V2 = final volume = 0.325 L
T2 = final temperature
Plugging in these values:
(5.0 atm)(1.25 L) / 148.15 K = (50 atm)(0.325 L) / T2
6.25 / 148.15 = 16.25 / T2
T2 = (16.25 x 148.15) / 6.25
T2 = 387.993 K
Therefore, the final temperature of the helium gas is 387.993 K. To convert this to Celsius, we subtract 273.15:
387.993 K - 273.15 = 114.843 °C
So, the final temperature of the helium gas is approximately 114.843°C.