SOLUTION: Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, wh
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Question 1198532: Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- Give an exponential equation to represent the percentage of the original gallium-67 after
t days.
Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections. The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection. The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- After 4 days, how much percentage is remaining?
- After how many days, is 1% of the original Gallium-67 will remain? Round your answer to 2 decimal places
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections.
The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection.
The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- Give an exponential equation to represent the percentage of the original gallium-67 after t days.
:
, where
A = resulting amt after t time
Ao = initial amt
t = time of decay
3.26 = half life of the substance
To find the percentage, use 1 as the initial amt multiply the resulting decimal by 100
:
Gallium-67 is used in nuclear medicine to help doctors locate inflammation and chronic infections.
The patient is injected with a tracer (trace amount) that includes gallium-67, which collects in areas of inflammation and infection.
The gallium-67 emits radiation that a special camera can detect. Gallium-67 has a half-life of 3.26 days.
- After 4 days, how much percentage is remaining?
* 100
A% = 42.72% remains after 4 days
:
- After how many days, is 1% of the original Gallium-67 will remain? Round your answer to 2 decimal places
= .01
using nat logs
:
t = * -3.26
t = 21.66 days
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