1.

Calcualte the work down when 11.2 g of iron dissolves in hydrochloric acid in (i) a closed vessel (ii) an open beaker at `25^(@)C` ( Atomic meass of `Fe = 56u)`

Answer» Iron reacts with HCl acid to produce `H_(2)` gas as
`Fe(s) + 2HCl(aq) rarr FeCl_(2) (aq) + H_(2)(g)`
Thus, 1 mole of Fe, i.e., 56 g Fe produce `H_(2)` gas `= 1 `mole
`:. 11.2 g` Fe will produce `H_(2)` ga `= (1)/( 56) xx 11.2 = 0.2 `mole.
(i) If the reaction is carried out in a closed vessel , `Delta V = 0`
`:. w = - P_(ext)DeltaV = 0`
(ii) If the reaction is carried out in open beaker ( external pressure being 1 atm)
Final volume occupied by 0.2 moles of `H_(2) ` at `25^(@)C` and 1 atm pressure can be calculated as follows `:`
`PV = nRT`
`:. V = ( nRT)/( P) = ( 0.2 mol xx 0.0 821L atm K^(-1) xx 298 K)/( 1 atm) = 4.89 L`
`:. DeltaV = V _("final") - V_("initial") = 4.89 L`
`w= - P_(ext)DeltaV = -1 atm xx 4.89 L atm`
`= - 4.89 L atm`
`= - 4.89 xx 101.3 J = - 495.4 J`


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