1.

The instantaneous rate of an elementary chamical reactkon aA+bBhArr cC+dD can be given by rate =K_(f)[A]^(a)[B]^(b)-K_(b)[C]^(c)[D]^(d) where K_(f) and K_(b) are rate constants for forward and backward reactions respectively for the reversiblereaction. If the reaction is an irreversible one, the rate is expressed as, rate =K[A]^(a)[B]^(b) where K is rate contant for the given irreversible rate of disappearance of A is a/b times the rate of disappearance of B. The variation of rate constant K with temperature is expressed in terms of Arrheniusequation: K=Ae^(-E_(a)//RT) whereasthe ratio (K_(f))/(K_(b)) is expressed in terms of van't Hoff isochore: (K_(f))/(K_(b))=Ae^(-DeltaH//RT), where E_(a) and DeltaH are energy of activation and heat of reaction respectively. For a gaseous phase -I order reaction A(g)toB(g)+2C(g) (rate constant K=10^(-2)"time"^(-1)) in a closedvesel of 2 litre containing 5 mole of A(g) at 27^(@)C which of the following is correct?

Answer»

Rate of appearance of C (g) is `5xx10^(-2),"mol"L^(-1)t^(-1)`
Rate of disappearance of A(g) is `6.15xx10^(-3)'atm"t^(-1)`
Rate of disappearance of A (g) is `5.0xx10^(-2)"mol"t^(-1)`
Rate of appearance of B (g) is `5xx10^(-2)"moL"^(-1)t^(-1)`

Solution :`R=(r_(A))/1=(r_(B))/1=(r_(C))/2`


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