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What must the inital does of the drug be in order for the drug concentration 3.00 hours...
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The rate constant is given as per minute, this means this is a first order reaction.
The rate equation for this can be written as,
(dc)/(dt) = -0.00426 xx c
1/c dc = -0.00426 dt
Integrating wrt t,
ln(c) = -0.00426t+k
at t=0, c = c_0
ln(c_0) = 0+k
ln(c) = -0.00426t+ln(c_0)
But we know at t= 180 min , c = 5 mg/kg body
ln(5) = -0.00426 xx 180 + ln(c_0)
1.60944 = -0.7688 + ln(c_0)
ln(c_0) = 2.37824
c_0 = exp(2.37824)
c_0 = 10.786 mg/ kg body
Therefore the initial dose should be 10.786 mg/kg body
Posted by thilina-g on June 16, 2012 at 7:46 AM (Answer #1)
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