For the decomposition of N2O5 at 298 k, the rate law is d[n2O5]/dt= k[N2O5].
Starting with 2.5 moles of N2O5(g), in a 5 lt container how many moles/ltof N2O5 will remain after 75 seconds if the rate const for the reacn is 16.8 * 10 ^-3 s^-1

From the rate lawR = K [N2O5],we can say that the reaction is a first order reactionK= 2.303t log aa-xt= 75 secK= 16.8 × 10-3 sec-1a= initial concentration = no of molesVolume = 2.55 = 0.5 mol/Lx= amount decomposed16.8 × 10-3= 2.30375 log 2.55a-x16.8 × 10-3 × 752.303 =  log 0.5a-xlog 0.5 - log (a-x) = 16.8 × 10-3 × 752.303log (a-x) =log 0.5 - 16.8 × 10-3 × 752.303a-x = 0.1419Thus the amount remaining after 75 sec = 0.1419 mol/L

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