Name: Liquid Drop Model of Nucleus
Uploaded: 2019-07-19
Duration: 2 min 42 s
Description: Did you know a liquid drop shares many similarities with a nucleus? It will be interesting to learn the similarities let's learn the liquid drop model of the...

Question

For the

D - T

fusion reaction, find the rate at which deuterium & tritium are consumed to produce

1 MW

. The

Q -

value of

D - T

reaction is

17.6 MeV

& assume all the energy from the fusion reaction is available.

Accepted Answer

Given that each deuterium nucleus produces $= 17.6 MeV$

$∴$ Energy produced by $D - T$ deuterium $17.6 MeV$

Number of deuterium = $\frac{17.6 \times 1 \times 10^{3}}{2} N_{A} MeV = 8.8 \times 10^{3} N_{A} MeV$

Now to produce $1 MW = 1 \times 10^{6} {J s}^{- 1}$ , the amount of deuterium required in $kg s^{- 1}$ is $\frac{1 \times 10^{6}}{8.8 \times 10^{3} \times N_{A} \times e \times 10^{6}}$

$= \frac{1 \times 10^{6}}{8.8 \times 10^{3} \times 6.023 \times 10^{23} \times 1.6 \times 10^{19} \times 10^{6}}$

$= 0.01179 \times 10^{- 7} {kg s}^{- 1} =1.17 \times 10^{- 9} {kg s}^{- 1}$

Similarly, for Tritium, amount of tritium required in $kg s^{- 1}$

$= \frac{1 \times 10^{6}}{17.6 \times \frac{10^{3}}{3} \times N_{A} . e \times 10^{6}}$

$= \frac{1 \times 10^{6} \times 3}{17.6 \times 10^{3} \times 6.023 \times 10^{23} \times 1.6 \times 10^{- 19} \times 10^{6}}$

$= 0.01769 \times 10^{- 7} {kg s}^{- 1} = 1.769 \times 10^{- 9} {kg s}^{- 1}$

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

Important Questions on Nuclear Physics

Learn and Prepare for any exam you want !

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

Important Questions on Nuclear Physics

Learn and Prepare for any exam you want !

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