an ideal gas in a closed inflexible container has a pressure of 6 atm and a temperature of 27 degree celsius . What will be the new pressure of the gas of temperature is decreased to -73 degree celsius?
a) 2 atm
b) 3 atm
c) 4atm
d) 8atm
e) 9atm
plz teach me the method also
(P1/T1) = (P2/T2)
Substitute into the equation and solve for the one unknown. Remember T must be in kelvin.
m not getting the right answer am getting a different ans
Post your work and I'll find the error,
6/27 = p1/-73 ths are the values which m getting frm question bt stil the last ans is like 438 which is obviously wrong
Re-read my first response. Didn't I say to remember T must be in kelvin? That was not a typing exercise for me. Students often forget to change celsius to kelvin; I almost always write that as a reminder. You used celsius, not kelvin. You can't get the right answer without using kelvin for T.
Do you know how to convert T from C to K?
K = C + 273.
To solve this problem, you can use the combined gas law, which relates the initial and final pressures and temperatures of a gas sample. The formula for the combined gas law is:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where:
P1 = initial pressure
V1 = initial volume (which is constant in this case since the container is inflexible)
T1 = initial temperature
P2 = final pressure (what we need to find)
V2 = final volume (which is constant in this case since the container is inflexible)
T2 = final temperature
In this question, we are given:
P1 = 6 atm
T1 = 27 °C = 300 K (converted to Kelvin using the formula: T(K) = T(°C) + 273.15)
T2 = -73 °C = 200 K (converted to Kelvin)
Since the volume (V) remains constant in this problem, we can ignore it, so the equation simplifies to:
(P1) / (T1) = (P2) / (T2)
Now, we can substitute the given values into the equation:
(6 atm) / (300 K) = (P2) / (200 K)
To solve for P2, we can cross-multiply:
6 atm * 200 K = P2 * 300 K
P2 = (6 atm * 200 K) / (300 K)
P2 = 4 atm
Therefore, the new pressure of the gas, when the temperature is decreased to -73 °C, is 4 atm.
So, the correct answer is option c) 4 atm.