An insulated cylinder of volume 60 cm³ contains gas at 27°C and 2 atm pressure. It is compressed to 20 cm³ and temperature rises to 77°C. Find final pressure.

Solution:

Using gas equation:

(P₁V₁)/T₁ = (P₂V₂)/T₂

Given:

• P₁ = 2 atm
• V₁ = 60 cm³
• T₁ = 300 K
• V₂ = 20 cm³
• T₂ = 350 K

P₂ = (2 × 60 × 350)/(300 × 20)

P₂ = 7 atm

Answer: 7 atm