Question

If a gas in a closed container is pressurized from 15.0 atmospheres to 16.0

atmospheres and its original temperature was 298 degrees Kelvin, what
would the final temperature of the gas be?

Answer 1

T₂ = 317.87 K

Step-by-step explanation:

Given data:

Initial pressure = 15 atm

Final pressure = 16 atm

Initial temperature = 298 K

Final temperature = ?

Solution:

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:

15 atm / 298K = 16 atm/T₂

T₂ = 16atm × 298 K / 15 atm

T₂ = 4768 atm. K / 15 atm

T₂ = 317.87 K