Observe the following reaction ABO ₃( ~s ) 1000 ~K AO ( ~s )+ BO ₂( ~g ) _ r H for this reaction is x ~kJ ~mol ⁻¹ . What is its _ r U (in kJ mol ⁻¹ ) at the same temperature? ( R =8.3 ~J ~mol ⁻¹ ~K ⁻¹ )

Step-by-step solution

_ r H = _ r U + _ g R T aligned & _ r H = x kJ mol ⁻¹ & R =8.3 ~J ~mol ⁻¹ ~K ⁻¹ & n _ g =1 & ~T =10^3 ~K & x kJ mol ⁻¹= _ r U + 1 8.3 ~J ~mol ⁻¹ ~K ⁻¹ 10^3 ~K 10^3 & x = _ r U +8.3 [1 ~kJ =10^3 ~J ] & _ r U = x -8.3 aligned