A cylinder contains 12liters of O2 at 20°c and 15atm. The temperature is raised to 35°c and volume is reduced to 8.5L. Calculate the final pressure. What will be the new pressure if the volume is doubled

Pressure : 11 atmosphere

Explanation:

According to gas equation P₁V₁/T₁ = P₂V₂/T₂

Where P₁ is the initial pressure, V₁ is the initial volume and T₁ is the initial temperature

P₂ is the final pressure, V₂ is the final volume and T₂ is the final temperature

Thus P₁ = 15 atmosphere, V₁ = 12 liters and T₁ = 273 + 20 = 293 K

P₂ = ?, V₂ = 8.5 liters, T₂ = 273 + 35 = 308 K

From gas equation P₂ = P₁V₁T₂/T₁V₂ = 15 x 12 x 308 / 293 x 8.5

= 22.3 atmosphere.

If the volume is doubled

The gas equation will be P₁V₁ = P₂V₂; because temperature is constant

Here V₂ = 2 V₁ therefore pressure P₂ = P₁/2 = 22.3/2 = 11.1 atmosphere