At 300 ~K , ~K _ C for the reaction. A ₂ ~B ₂( ~g ) A ₂( ~g )+ B ₂( ~g ) is 100 ~mol ~L ⁻¹ . What is its K _ p (in atm) at the same temperature? ( R =0.082 ~L ~atm ⁻¹ ~mol ⁻¹ )

Step-by-step solution

K _ p = K _ c ( RT )^ n _ g Given, aligned & K _ c =100 ~mol ~L ⁻¹ & R =0.082 ~L ~atm ~mol ⁻¹ ~K ⁻¹ & ~T =300 ~K & n =( no. of gaseous product )-( no. of gaseous reactant ) & =2-1=1 & ~K _ P =100 ~mol ~L ⁻¹ (0.082 ~L ~atm ~mol ⁻¹ ~K ⁻¹ 300 ~K )^1 & ~K _ P =2460 ~atm aligned