Calculate difference between `DeltaH` and `DeltaU` when 1 mole of grey tin `(` density `=5.75g//cm^(3))` changes to white tin `(` density `=7.31g//cm^(3))` at 10 bar . ( at `298 K, DeltaH=+2.1 kJ,` at `wt=119` of `Sn)`

Options

A. `-8.8J`
B. `-4.4J`
C. `-2.2J`
D. `4.4J`

Answer

2

Explanation

`V_(grey)=(119)/(5.75)cm^(3)" "rArr" "V_("while")=(119)/(7.31)cm^(3)`
`DeltaH=DeltaU+Delta(PV)`
`DeltaH-DeltaU=10xx10^(5)(V_("while")-V_(grey))xx10^(-6)=((119)/(7.31)-(119)/(5.75))J=119((1)/(7.31)-(1)/(5.75))`
`=-4.428=-4.4J`.