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If a drug has a half-life of 7h how long it takes for a toxic plasma concentration of 40 mglmLto decline to a therapeutic plasma concentration of 125 mglmL assuming...

Question

If a drug has a half-life of 7h how long it takes for a toxic plasma concentration of 40 mglmLto decline to a therapeutic plasma concentration of 125 mglmL assuming first-order elimination?Select one:35 h81hInformation is not enough 25 h20 h

If a drug has a half-life of 7h how long it takes for a toxic plasma concentration of 40 mglmLto decline to a therapeutic plasma concentration of 125 mglmL assuming first-order elimination? Select one: 35 h 81h Information is not enough 25 h 20 h



Answers

Finding the Rate If the half-life of a drug is 12 hours, then at what rate is it being eliminated from the body?

In those question we've beaten told that Technician ninety nine has a half life off six house and the initial amount that is their moment before any time t it is zoo point zero five zero, Milica. And after time t, the number ofthe rejected knew Clyde as reduced to one point zero times ten to the negative to really grow up. So we know that using that integrated Rachel no, no natural law off anti divided by and not is equal to negative, Katie, where Kay is the rate constant and t is the time it takes for you not to gets to Auntie So you can see from this equation that we have nt and not but what we don't always ke anti. And from the data we've been provided, we can gets cave that I relate in the half life to kill you use in the half life in question. So we know that half life it's equal to zero point six nine three divided by K in the half life of off technetium ninety nine a. M has been given to us as sex sells so divided by speaks. And that is going to get Kay to zero point one one five five The Okay, So now let me have completed Kay. Now we can go ahead and calculates forty, which is what the question is asking us for. So what we do is we put in all that all the data we have So anti azi called too One times every times ten. The party needs you three Milica, if I don't buy a lot which is an zero point zero five What? So really grab which is it? Caught a negative. So find one one five five Ah see, it is a time t so find Auntie, we'LL be going to land off one point four times ten is the point of it is being really divided by one zero zero zero five Really all divided by negative So point one one by five they are And that is going to get you thirty three point tonight Which is how pros Millie therefore Ah Sylar timing to take four zero point zero five milligram of technetium ninety nine a m to get to one point zero times ten ways to the Bynegative Fury Milligram is there for hours

But a certain medications eliminated by from the blood stream. Sorry. According to this formula, why is equal to a E to the negative 0.16 to 5 t It asked us to find 1/2 life. So the half life is gonna be when? Why is half of a all right? And we're just gonna try to solve that for tea. So these days cancel and they're gonna take a lot of both sides. A lot of 0.5 is gonna equal minus 0.16 to 5 t. Okay, You're essentially writing this now is a log rhythm. And then that means that tea is the lawn of 0.5 raised to negative 0.16 to 5. And we're just gonna do that on our calculator, which I'm not sharing with you because I'm doing it, um, on a calculator that's not share a ble. But you can take your own calculator and do it, and you should end up with 4.27 hours. Okay? And that's the half life

This is actually really is a question once you know what tools union so intimidated by it. So remember that the half life is equal to the natural log of two over the rate constant for four first or decays be derived from the integrated rate laws. But it's best just know it only uses pretty often now, we were told back A is 5.11 time sensitive fifth inverse seconds, and so you'll get a value for the half life, which I got in seconds first. But to go two hours of divide by 3600. And when you do that, you'll get, uh, 3.76 hours is the half life. Now this inelegant start questions nice where they're asking us to go to 12.5% now think about what happens. We're starting at 100%. They go through 1/2 life, we're gonna 50% another one. We go to 25 and then I mean, we go directly to 12.5, which we're looking for us. We don't have to use anything formless. We can just see that it's exactly 3/2 lives. 123 That we're looking for in some multiplied 3.76 by three, and you'll get, uh, right around 11 11.3 hours as our answer.

So we have a particular thing with a half life of 12 hours. Now the initial dose was five mg. I want to know how much is left after 16 hours. So the initial dose was five mg and the half life is 12 hours. I want to know how much is left after 16 hours. So am I calculator. I'm going to do five 0.5, raise to the four thirds, so five times 50.5 raised to the four thirds, and that gives us 1.984 1.984 g.


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