QUESTIONS

In nuclear fusion, $0.993 \mathrm{g}$ helium is formed by $1 \mathrm{g}$ hydrogen. If the efficiency of the generator be $5\%$, then calculate the energy obtained in kilowatt-hour $\left(\mathrm{kWh}\right)$.

The energy released per fission of ${}_{92}U^{235}$ nucleus is $200 MeV$. Compute the energy released in joule if $100 \mathrm{g}$ of ${}_{92}U^{235}$ is fissioned. Avogadro’s number is $6.02\times {10}^{23} {\mathrm{mole}}^{-1}$.

Calculate the useful power produced in a reactor of $40\%$ efficiency in which ${10}^{14}$ fissions are taking place per second, and the energy per fission is $250 \mathrm{MeV}$.

If $200 MeV$ energy is released in the fission of a single nucleus of ${}_{92}U^{235}$, how many fissions must occur in one second to produce a power of $1 kW$? Also, compute the energy released in the complete fission of $5 \mathrm{kg}$ of $U^{235}$. Take Avogadro's number$=6.2\times {10}^{26} {\mathrm{kmol}}^{-1}$.

A $U^{235}$ reactor is producing nuclear energy at a rate of $32,000 \mathrm{kW}$. How many nuclei of $U^{235}$ are fissioned per second? How much $U^{235}$ would be consumed in $1000$ hours? Assume an average energy of $200 \mathrm{MeV}$ released per fission. Take Avogadro’s number as $6\times {10}^{23} {\mathrm{mol}}^{-1}$.

In a star, three $\alpha$-particles (${}_{2}H{e}^4$ nuclei) fuse together to form a ${}_{6}C^{12}$ nucleus. Compute the energy evolved. The masses of ${}_{2}H{e}^4$atom and ${}_{6}C^{12}$ atom are $4.002604 \mathrm{u}$ and $12.000000 \mathrm{u}$ respectively.

Four hydrogen nuclei fuse together to form a helium nucleus with emission of two positrons. Calculate the energy released in the reaction. Given : mass of ${}_{1}H^1$ atom$=1.007825 u$, mass of ${}_{2}H{e}^4$ atom $=4.002603 u$, mass of positron $=0.000549 u$.

The following equation represents a fusion reaction: ${}_1{H}^2{+}_1{H}^3{\to }_{2}H{e}^4{+}_0{n}^1+Q$; where $Q$ is the energy released. Given: mass of ${}_1{H}^2$ atom $=2.014102 u$, mass of ${}_{1}H^3$ atom $=3.0 16050 u$, mass of ${}_{2}H{e}^4$ atom $=4.002603 u$ and mass of neutron ${}_{0}n^1=1.008665 u$. Calculate the value of $Q$.