मराठी

Radioactive decay follows first-order kinetics. The initial amount of two radioactive elements X and Y is 1 gm each. What will be the ratio of X and Y after two days if their half- lives

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प्रश्न

Radioactive decay follows first-order kinetics. The initial amount of two radioactive elements X and Y is 1 gm each. What will be the ratio of X and Y after two days if their half-lives are 12 hours and 16 hours respectively?

संख्यात्मक
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उत्तर

For first-order reaction

half life of X = 12 hours

2 days = 48 hours means 4 half lives,

Amount of X left = `1/16` of initial value

half life of Y = 16 hours

2 days = 48 hours means 3 half lives,

Amount left = `1/8` of initial value

Ratio of X : Y = 1 : 2

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