Test Chapter 5 Test This Question 1 pt The decay rate of a c

Test: Chapter 5 Test This Question: 1 pt The decay rate of a certan dhemical The harare of the chemicals years (Round the nearest integer. Enter your answer in the answer box O mat 151-34203 11 of 11 complete) Poe where k decay rate and Pois the onginal amount of chemical, This Test: 11 pt

Solution

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Given
Decay Rate	=	9.4%
To calculate	=	Half Life
Initial quantity	=	P0
Quantity at half life p(t)	=	P0/2
P = P0exp (-kt)
	P0/2	=	P0exp (-0.094t)
	0.5	=	exp(-.094t)
Taking log on both sides
	ln(0.5)	=	-0.094t
	-0.69315	=	-0.094t
	t	=	7.373906176	years