1 mole of H ₂ gas is contained in a box of volume V=1.00 ~m ^3 at T=300 ~K . The gas is heated to a temperature of T=3000 ~K and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)

Step-by-step solution

According to gas equation P V=n R T or P₂ V₂ T₂ = P₁ V₁ T₁ or P₂ P₁ = V₁ V₂ T₂ T₁ Here, T₂=3000 ~K , T₁=300 ~K Since H ₂ splits into hydrogen atoms, therefore volume become half i.e., V₂= 1 2 V₁ aligned & P₂ P₁ = V₁ 1 2 V₁ 3000 300 & or P₂ P₁ =20 aligned