Calculate q, W, Delta E and Delta H when 100 g of CaCO_(3) is converted into its aragonite form given density of caicite =2 g// c c and density of aragonite =2.5 g// c c

Calculate q, W, Delta E and Delta H when 100 g of CaCO_(3) is converte

1.	Calculate q, W, Delta E and Delta H when 100 g of CaCO_(3) is converted into its aragonite form given density of caicite =2 g// c c and density of aragonite =2.5 g// c c
Answer» Solution :`{:(CaCO_(3),hArr,CaCO_(3),,),("CALCITE",,"Aragonite",DeltaH=2kJ//"mole",):}` Generally for `{:("solid"rarr,"Solide",,,),("solid"rarr,"Liquid",,,),("solid" rarr,"Liquid",,,):}` transitions `W lt lt q` so, `DeltaE ~= q= DeltaH` while for gaseous conservation for example `{:("Solid",rarr,"gas",,),("Liquid",rarr,"gas",,):}` `q=Delta H !=Delta E` , as `W` will be siginificant `{:(S.No,Process,w,q,Delta U,Delta H,"Molar heat capacity"),(1,"Isochoric",0,nC_(vm)(T_(f)-T_(i)),q_(v),nC_(p m)(T_(f)-T_(i)),C_(vm)),(2,"isobaric",-P_(ext)(V_(2)-V_(1)),nC_(p m)(T_(f)-T_(i)),q+w,nC_(p m)(T_(f)-T_(i)),C_(p.m)),(3,"ISOTHERMAL",underset(W_(irrev)=-Pext(V_(f)-V_(i)))(W_(rav) = nRT In((V_(f))/(V_(i)))),-w,0,0,PM infty),(4,"Adidatic",(P_(f)V_(f)-P_(1)V_(1))/(alpha-1),0,w,0,0),(5,"Polytropic",(P_(f)V_(f)-P_(i)V_(i))/((n-1)),Delta U-w,nC_(vm)(T_(2)-T_(1)),nC_(p.m)(T_(2)-T_(1)),C_(vm)+(R)/(1- gamma)):}`