In a slow reaction, heat is being evolved at a rate about 10 mW in a liquid. If the heat were being generated by the decay of ³² P , a radioactive isotope of phosphorus that has half-life of 14 days and emits only beta-particles with a mean

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In a slow reaction, heat is being evolved at a rate about 10 mW in a liquid. If the heat were being generated by the decay of ³² P , a radioactive isotope of phosphorus that has half-life of 14 days and emits only beta-particles with a mean energy of 700 KeV , estimate the number of ³² P atoms in the liquid. Express your answer in form of A 10¹⁷ and fill 5 A in OMR sheet. [Take : 2=0.675 ]

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Correct answer: 8

P =700 10^3 1.6 10⁻¹⁹ dN dt =10 10⁻³ ; dN dt = 10⁻² 10⁻¹⁴ 1 7 16 = 10¹² 11.2 = N ₀ = 2 14 86400 ~N ₀= 14 86400 10¹² 11.2 2 =160 10¹⁵

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