Question

If a truck's tires are filled to a pressure of 2.38 atm when they are 25.0

degrees Celsius, what would their pressure be, if the temperature of the
tire goes up to 52.78 degrees Celsius after driving on the highway.

Answer 1

P₂ = 2.60 atm

Step-by-step explanation:

Given data:

Initial pressure = 2.38 atm

Initial temperature = 25.0 °C

Final pressure = ?

Final temperature = 52.78°C

Solution:

Initial temperature = 25.0 °C (25.0+273 = 298 K)

Final temperature = 52.78°C (52.78+273 = 325.78 K)

According to Gay-Lussac Law,

The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.

Mathematical relationship:

P₁/T₁ = P₂/T₂

Now we will put the values in formula:

2.38 atm / 298 K = P₂/325.78 K

P₂ = 2.38 atm × 325.78 K / 298 K

P₂ = 775.35 atm. K /293 K

P₂ = 2.60 atm