Answer
Given that Initial quantity, [R]o= 5 g
Final quantity, [R] = 3 g
Rate constant, k = 1.15 x 10−3 s−1
Formula of 1st order reaction,
Plug the values we get
Value of log 5/3 = log 5 – log 3 = 0.2219
We get
After calculation we get
444 sec
Hence, it will take 444 sec to reduce 5 g of this reactant to 3 g
Do you know any other method of solving this problem ?
A first order reaction has a rate constant 1.15 x 10−3 s−1. How long will 5 g of this reactant take to reduce to 3 g?
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Cannot we do it like log5/3 = log of 1.66 or simply log2 i.e., 0.204?
ReplyDeleteHuge error 1.66<2.0 ur approx. Is hell large
DeleteWe can but log of 5 - log of 3 is more easy because... We all know the values of log 5 and 3..... To find Log of 1.66 we wud need the log table
ReplyDeleteWe cannot take log2 because both log5 and log3 has not the exact value as a numerical three and five......Otherwise why we are taking the heck of this freaking 'logs'😺
ReplyDeleteBut you are not taking concentrations you are taking this quantity in grams not in mol per liter per time
ReplyDeleteVolume will cancel out
DeleteI am also having same doubt
Deletewhy we not use t=0.693/k*log[R]o/[R]
ReplyDelete