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QUESTION

# Suppose the half life of element K is 20 minutes. If you have 200 g sample of K, how much of element K will be left after 60 minutes?

25color(white)(i)g

Recall that the formula for half-life is:

color(blue)(|bar(ul(color(white)(a/a)y=a(b)^(t/h)color(white)(a/a)|)))

where: y=final amount a=inital amount b=growth/decay t=time elapsed h=half-life

To find the amount of the sample left after 60 minutes, substitute your known values into the equation.

y=200(1/2)^(60/20)

Solve for y.

y=200(1/2)^3

y=200(1/8)

color(green)(|bar(ul(color(white)(a/a)y=25color(white)(i)gcolor(white)(a/a)|)))