Question

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

Answer 1

Answer:

P₂ = 2.60 atm

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