contestada

The half-life of silicon-32 is 710 years. If 100 grams is present now,how much will be present in 300 years? (Round k-value to six decimalplaces and round your final answer to one decimal place) y= nekkt

Respuesta :

We will have the following:

[tex]N=Noe^{kt}[/tex][tex]50=100e^{710k}\Rightarrow0.5=e^{710k}\Rightarrow\ln (0.5)=710k\Rightarrow k=\frac{\ln(0.5)}{710}[/tex]

From this we have that the equation is:

[tex]N=100e^{(\frac{\ln(0.5)}{710})t}[/tex]

Now, we replace the time:

[tex]N=100e^{(\frac{\ln(0.5}{710})(300)}\Rightarrow N\approx74.6[/tex]

So, there will be approximately 74.6 grams of silicon-32.

Otras preguntas