For the `D-T` fusion reaction, find the rate at which deuterium & trithium are consumed to produce `1 MW`. The `Q`-value of `D-T` reactions is `17.6 MeV` & assume all the energy from the fusion rection is available.

A fusion reaction of the type given below ._(1)^(2)D+._(1)^(2)D rarr ._(1)^(3)T+._(1)^(1)p+DeltaE is most promissing for the production of power. Here D and T stand for deuterium and tritium, respectively. Calculate the mass of deuterium required per day for a power output of 10^(9) W . Assume the efficiency of the process to be 50% . Given : " "m(._(1)^(2)D)=2.01458 am u," "m(._(1)^(3)T)=3.01605 am u m(._(1)^(1) p)=1.00728 am u and 1 am u=930 MeV .

A fusion reaction of the type given below ._(1)^(2)D+._(1)^(2)D rarr ._(1)^(3)T+._(1)^(1)p+DeltaE is most promissing for the production of power. Here D and T stand for deuterium and tritium, respectively. Calculate the mass of deuterium required per day for a power output of 10^(9) W . Assume the efficiency of the process to be 50% . Given : " "m(._(1)^(2)D)=2.01458 am u," "m(._(1)^(3)T)=3.01605 am u m(._(1)^(1) p)=1.00728 am u and 1 am u=930 MeV .

A fusion reaction of the type given below ._(1)^(2)D+._(1)^(2)D rarr ._(1)^(3)T+._(1)^(1)p+DeltaE is most promissing for the production of power. Here D and T stand for deuterium and tritium, respectively. Calculate the mass of deuterium required per day for a power output of 10^(9) W . Assume the efficiency of the process to be 50% . Given : " "m(._(1)^(2)D)=2.01458 am u," "m(._(1)^(3)T)=3.01605 am u m(._(1)^(1) p)=1.00728 am u and 1 am u=930 MeV .

The deuterium-tritium fusion reaction (called the D-T reaction) is most likely to be the basic fusion reaction in a future thermonuclear fusion reactor is ._(1)^(2)H+._(1)^(3)Hrarr._(2)^(4)He+._(0)^(1)n+Q (a) Calculate the amount energy released in the reaction, given m(._(1)^(2)H)=0.014102 amu. m(-(1)^(3)H)=3.016090 amu, m(._(0)^(1_n)=1.008665 amu and m(._(2)^(4)He)=4.002603 amu. (b) Find the kinetic energy needed to overcome coulumb repulsion. Assume the radius of both deterium and tritium to he approximately 1.5xx10^(-15)m . (c) To what temperature must the gases be heated to initiate the fusion reaction? Take Boltzmann constant k=1.38xx10^(-23) JK^(-1) .

Consider the D–T reaction (deuterium–tritium fusion) ""_(1)^(2)H + ""_(1)^(3)H to ""_(2)^(4)He + n (a) Calculate the energy released in MeV in this reaction from the data: m (""_(1)^(2)H) = 2.014102u m(""_1^(3)H) = 3.016049 u (b) Consider the radius of both deuterium and tritium to be pproximately 2.0 fm. What is the kinetic energy needed to overcome the coulomb repulsion between the two nuclei? To what temperature must the gas be heated to initiate the reaction? (Hint: Kinetic energy required for one fusion event =average thermal kinetic energy available with the interacting particles = 2(3kT/2), k = Boltzman’s constant, T = absolute temperature.)

Consider the D–T reaction (deuterium–tritium fusion) ""_(1)^(2)H + ""_(1)^(3)H to ""_(2)^(4)He + n (a) Calculate the energy released in MeV in this reaction from the data: m (""_(1)^(2)H) = 2.014102u m(""_1^(3)H) = 3.016049 u (b) Consider the radius of both deuterium and tritium to be pproximately 2.0 fm. What is the kinetic energy needed to overcome the coulomb repulsion between the two nuclei? To what temperature must the gas be heated to initiate the reaction? (Hint: Kinetic energy required for one fusion event =average thermal kinetic energy available with the interacting particles = 2(3kT/2), k = Boltzman’s constant, T = absolute temperature.)

In a fusion reactor, the reaction occurs in two stages. (i) Two deuterium (""_(1)^(2)D) nuclei fuse to form a tritium (""_(1)^(3)T) nucleus with a proton as product. (ii) A tritium nucleus fuses with another deuterium nucleus to form a helium (""_(2)^(4)He) nucleus with neutron as another product. Find (a) the energy released in each stage. (b) the energy released in the combined reaction per deuterium and (c) what percentage of the mass energy of the initial deuterium is released? Given : ""_(1)^(2)D=2.014102u,""_(1)^(3)T=3.016049u,""_(2)^(4)He=4.002603u,""_(1)^(1)H=1.007825u,""_(0)^(1)n=1.008665u Take 1u = 931 MeV