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How long can an electric lamp of 100 W be kept glowing by fusion of 2 kg of deuterium? Take the fusion reaction as

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How long can an electric lamp of 100 W be kept glowing by fusion of 2 kg of deuterium? Take the fusion reaction as ■8([email protected])𝐻+■8([email protected])𝐻→■8([email protected])𝐻𝑒+𝑛+3.27 𝑀𝑒𝑉 Question 6 How long can an electric lamp of 100 W be kept glowing by fusion of 2 kg of deuterium? Take the fusion reaction as ■8([email protected])𝐻+■8([email protected])𝐻→■8([email protected])𝐻𝑒+𝑛+3.27 𝑀𝑒𝑉 Number of atoms present in 2g of deuterium = 6 x 1023 Number of moles = 𝑁/𝑁_4 =(𝑀𝑎𝑠𝑠 𝑔𝑖𝑣𝑒𝑛)/(𝑀𝑜𝑙𝑎𝑟 𝑚𝑎𝑠𝑠) 𝑁/𝑁_4 =2𝑘𝑔/2𝑔 N = 10^3×6×10^23 N = 6×10^26 Number of atoms present in 2kg of deuterium = 6 x 1026 Energy released in fusion by 2 deuterium atoms = 3.27 MeV (given) Energy released by 6 × 1026 atoms = 3.27/2×6×10^26 𝑀𝑒𝑉 = 9.81×10^26 𝑀𝑒𝑉 = 15.696×10^13 𝐽 It is given that the bulb consumes 100J of energy per second. Hence, the bulb will be able to glow for = (15.696×10^13)/100 𝑆 = 𝟒.𝟗𝟕×〖𝟏𝟎〗^𝟒 years

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.