if a car tire has a pressure of 320 kPa at 25 degrees celsius, what will the pressure be when the tempertature is 55 degrees celsius?
change the temps to Kelvins
P1/T1=P2/T2
solve for P2
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To find the pressure of the car tire when the temperature is 55 degrees Celsius, we can use the Ideal Gas Law equation:
P1 * V1 / T1 = P2 * V2 / T2
Where:
P1 is the initial pressure of the tire (320 kPa)
V1 is the initial volume of the tire (assuming it remains constant)
T1 is the initial temperature of the tire (25 degrees Celsius)
P2 is the pressure we want to find
V2 is the volume of the tire (assuming it remains constant)
T2 is the final temperature of the tire (55 degrees Celsius)
First, we need to convert the temperatures to Kelvin scale by adding 273.15 to each temperature:
T1 = 25 + 273.15 = 298.15 K
T2 = 55 + 273.15 = 328.15 K
Now we can rearrange the equation to solve for P2:
P2 = P1 * V1 * T2 / T1
Given that the volume (V1 = V2) remains constant, the equation simplifies to:
P2 = P1 * T2 / T1
Substituting the given values:
P2 = 320 kPa * 328.15 K / 298.15 K
Now we can calculate the pressure:
P2 ≈ 351.8 kPa
Therefore, when the temperature of the car tire is 55 degrees Celsius, the pressure is approximately 351.8 kPa.