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One gram of Radium emits $3.7 \times 10^{10} α -$ particles per second. Calculate mean life of radium. Given Atomic mass of radium = 226

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7.2×1010 s

4.990×1010 s

8.659×1010 s

6.659×1010 s

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detailed solution

Correct option is A

Given : Activity = dNdt =λN = 3.7 ×1010 here λ=ln2Th and N=massmolar mass×NA=1226×6.023×1023 ∴3.7×1010=0.693×6.023×1023Th×226 ⇒Th=4.990×1010 s Now, Mean Life= Half lifeln2=4.990×10100.693=7.2 ×1010 s

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One gram of Radium emits 3.7×1010 α- particles per second. Calculate mean life of radium. Given Atomic mass of radium = 226

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Ready to Test Your Skills?

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One gram of Radium emits $3.7 \times 10^{10} α -$ particles per second. Calculate mean life of radium. Given Atomic mass of radium = 226