Question
A soda can with 120,000 PA of pressure is heated from 240 K to 300 K in hot water. What is the new pressure in the can
Answers
GPT 3.5
To find the new pressure in the can, we can make use of the ideal gas law:
PV = nRT
Where:
P = Pressure
V = Volume
n = number of moles
R = gas constant
T = temperature
Since the volume of the soda can remains constant and we are looking for the new pressure, we can rewrite the equation as:
P1/T1 = P2/T2
Where:
P1 = initial pressure
T1 = initial temperature
P2 = final pressure (what we want to find)
T2 = final temperature
Substituting the given values into the equation:
P1 = 120,000 Pa (initial pressure)
T1 = 240 K (initial temperature)
T2 = 300 K (final temperature)
P1/T1 = P2/T2
120,000/240 = P2/300
P2 = (120,000/240) * 300
P2 = 150,000 Pa
Therefore, the new pressure in the can is 150,000 Pa.
PV = nRT
Where:
P = Pressure
V = Volume
n = number of moles
R = gas constant
T = temperature
Since the volume of the soda can remains constant and we are looking for the new pressure, we can rewrite the equation as:
P1/T1 = P2/T2
Where:
P1 = initial pressure
T1 = initial temperature
P2 = final pressure (what we want to find)
T2 = final temperature
Substituting the given values into the equation:
P1 = 120,000 Pa (initial pressure)
T1 = 240 K (initial temperature)
T2 = 300 K (final temperature)
P1/T1 = P2/T2
120,000/240 = P2/300
P2 = (120,000/240) * 300
P2 = 150,000 Pa
Therefore, the new pressure in the can is 150,000 Pa.