# 8. A nuclear stress test utilizes a gamma-emitting radioisotope such as thallium-201 tofollow the flow of blood through the heart. Th first-order rate constant for the decay ofthallium-201 is 9.5 x 10 3 hr . Calculate how long it takes for a 0.50 M solution ofthallium-201 to disintegrate to 0.15 M.DOLLF11F9F10

Question
6 views help_outlineImage Transcriptionclose8. A nuclear stress test utilizes a gamma-emitting radioisotope such as thallium-201 to follow the flow of blood through the heart. Th first-order rate constant for the decay of thallium-201 is 9.5 x 10 3 hr . Calculate how long it takes for a 0.50 M solution of thallium-201 to disintegrate to 0.15 M. DOLL F11 F9 F10 fullscreen
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Step 1

Since the decay of thallium-201 follows first order reaction. Thus, it must follow the kinetics equation for first order.

First order integral equation:

Step 2

Given information:

Initial concentration of thallium-201, [A]o = 0.50 M

Final concentration of thallium-201, [A]t = 0.15 M

Time taken = let it ‘t’ hr.

Rate constant = 9.5 × 10-3 hr-.

Step 3

Plugging all value in above equat...

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### Chemical Kinetics 