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A chemical reaction 2A rarr 4B +C in g...

A chemical reaction `2A rarr 4B` +C in gas phase occurs in a closed vessel the concentration of B is found to increase by `2.5 xx10^(-3) mol L^(-1)` in 5 second calculate (i) the rate of appearance of B (ii) the rate of disappearance of A

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Average rate of reaction w.r.t. `B = (Delta [B])/(Delta t)`
Here, `Delta [B] = 2.5 xx 10^(-3) mol L^(-1)` and `Delta t = 5s`
`therefore` Average rate of reaction w.r.t. B = The average rate of appearance of B
`= (Delta [B])/(Delta t) = (2.5 xx 10^(-3) mol L^(-1))/(5s) = 5 xx 10^(-4) mol L^(-1)s^(-1)`
Average rate of reaction `= (1)/(2)(Delta[A])/(Delta t) = (1)/(4)(Delta [B])/(Delta t) = (Delta [C])/(Delta t)`
`= (5 xx 10^(-4) mol L^(-1)s^(-1))/(4) = 1.25 xx 10^(-4) mol L^(-1)s^(-1)`
The average rate of disappearance of `A = -(d[A])/(dt) = 2 xx` Average rate of reaction
`= 2 xx 1.25 xx 10^(-4) mol L^(-1)s^(-1) = 2.5 xx 10^(-4) mol L^(-1)s^(-1)`
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