Calculate the new pressure of the gas enclosed in a cylinder when it compressed from 5 L to 2 L at 1 atm and 300 K. The final temperature in this process is 500 K.

Step-by-step solution

Using the combined gas law equation: P₁ V₁ T₁ = P₂ V₂ T₂ Given values are: P₁ = 1 atm, V₁ = 5 L, T₁ = 300 K V₂ = 2 L, T₂ = 500 K Substituting the values into the equation: 1 5 300 = P₂ 2 500 P₂ = 1 5 500 300 2 P₂ = 25 6 4.16 atm Answer: 4.16 atm