Home
Class 12
PHYSICS
How long can an electric lamp of 100W be...

How long can an electric lamp of 100W be kept glowing by fusion of 2.0 kg of deuterium? The fusion reaction can be taken as `._1H^2+._1H^2to ._1H^3+n+3.17MeV`

Text Solution

AI Generated Solution

To solve the problem of how long a 100W electric lamp can be kept glowing by the fusion of 2.0 kg of deuterium, we will follow these steps: ### Step 1: Calculate the number of deuterium atoms in 2.0 kg The molar mass of deuterium (D or \( _1H^2 \)) is approximately 2 g/mol. 1. Convert 2.0 kg to grams: \[ 2.0 \, \text{kg} = 2000 \, \text{g} ...
Promotional Banner

Topper's Solved these Questions

  • ATOMS AND NUCLEI

    PRADEEP|Exercise (II) very short answer 16|1 Videos
  • ATOMS AND NUCLEI

    PRADEEP|Exercise (I) Short Answer questions 1|1 Videos
  • COMMUNICATION SYSTEMS

    PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos

Similar Questions

Explore conceptually related problems

The binding energy of deuteron ._1^2 H is 1.112 MeV per nucleon and an alpha- particle ._2^4 He has a binding energy of 7.047 MeV per nucleon. Then in the fusion reaction ._1^2H + ._1^2h rarr ._2^4 He + Q , the energy Q released is.

The atomic masses of deuteron, helium, neutron are 2.014 amu, 3.017 amu and 1.008 amu respectively. On fusion of 0.5 kg of deuterium, ""_(1)H^(2) + ""_(1)H^(2) to ""_(2)He^(3) + ""_(0)n^(1) , the total energy released is

In the fusion reaction _1^2H+_1^2Hrarr_2^3He+_0^1n , the masses of deuteron, helium and neutron expressed in amu are 2.015, 3.017 and 1.009 respectively. If 1 kg of deuterium undergoes complete fusion, find the amount of total energy released. 1 amu =931.5 MeV//c^2 .

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) .

What is the approximate percentage of mass converted into energy in the following thermonuclear reaction ? ._1H^2+._1H^2+._1H^2 to ._2He^4 + ._1H^1 +._0n^1+21.6 MeV

How many kilowatt hours of energy are released from 25 g deuterium ""_(1)^(2)H fuel in the fusion reaction, ""_(1)^(2)H+""_(1)^(2)Hto""_(2)^(4)He+gamma where the masses are ""_(1)^(2)H=2.014102u and ""_(2)^(4)He=4.002603u