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 dens

Question

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 dens

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`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

`{:(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)):}`