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Mathematics 18 Online
OpenStudy (amtran_bus):

The half life of cobalt is 5.27 years. If 100 grams of radioactive cobalt is present now, how much will be present in 20 and 40 years. Find the constant and then the 20 and 40 years. Noe^kt

OpenStudy (campbell_st):

ok... this is exponetial decay half life means that the 100 gm reduces to 50 g and as a result you will be able to find the constant of decay \[50 = 100e^{k \times 5.27}\] you need to solve this equation for k

OpenStudy (amtran_bus):

The constant is -0.132

OpenStudy (campbell_st):

yep... thats well done so now your equation is \[N = 100e^{-0.132 \times t}\] substitute your t values t = 20 and then t = 40 to find the respective weights of cobalt

OpenStudy (amtran_bus):

20 yrs= 7.136g 40yrs= .509g

OpenStudy (campbell_st):

yep that looks correct... well done

OpenStudy (amtran_bus):

God bless.

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