Question

3. Consider the nuclear equation: \begin{equation} ^2_1D + ^3_1T \to ^4_2He + ^1_0n + Q \end{equation} Using the fact that the atomic masses of deuterium, tritium, and helium are $M_D = 2.01410$ a. u.; $M_{He} = 4.00260$ a. u.; $M_T = 3.01605$ a. u., and that the mass of a neutron is $m_n = 1.00866$ a. u., a. Calculate the energy released when a deuterium nucleus fuses with one of tritium. Express the result in MeV. (Note: 1 a.u. = $1.66 \times 10^{-27}$ kg; $c = 3 \times 10^8$ m/s; 1 eV = $1.60 \times 10^{-19}$ J) (1.5 points) b. Calculate the amount of energy released when one gram of deuterium is fused with the necessary amount of tritium. Express the result in Kwh. (Note: $N_A = 6.02 \times 10^{23}$ atoms) (1.5 points) c. Deuterium is a stable isotope of hydrogen and constitutes 0.015% of natural hydrogen. If we would extract deuterium from the hydrogen in water, how many liters of water per day would we need to run a one Gwatt power station? (2 points)

          3. Consider the nuclear equation:
\begin{equation*}
^2_1D + ^3_1T \to ^4_2He + ^1_0n + Q
\end{equation*}
Using the fact that the atomic masses of deuterium, tritium, and helium are
$M_D = 2.01410$ a. u.; $M_{He} = 4.00260$ a. u.; $M_T = 3.01605$ a. u., and that the mass of a
neutron is $m_n = 1.00866$ a. u.,
a. Calculate the energy released when a deuterium nucleus fuses with one of tritium.
Express the result in MeV. (Note: 1 a.u. = $1.66 \times 10^{-27}$ kg; $c = 3 \times 10^8$ m/s; 1 eV = 
$1.60 \times 10^{-19}$ J) (1.5 points)
b. Calculate the amount of energy released when one gram of deuterium is fused with
the necessary amount of tritium. Express the result in Kwh. (Note: $N_A = 6.02 \times 10^{23}$
atoms) (1.5 points)
c. Deuterium is a stable isotope of hydrogen and constitutes 0.015% of natural
hydrogen. If we would extract deuterium from the hydrogen in water, how many
liters of water per day would we need to run a one Gwatt power station? (2 points)

3. Consider the nuclear equation:

^21D + ^31T → ^42He + ^10n + Q

Using the fact that the atomic masses of deuterium, tritium, and helium are
MD = 2.01410 a. u.; MHe = 4.00260 a. u.; MT = 3.01605 a. u., and that the mass of a
neutron is mn = 1.00866 a. u.,
a. Calculate the energy released when a deuterium nucleus fuses with one of tritium.
Express the result in MeV. (Note: 1 a.u. = 1.66 × 10^-27 kg; c = 3 × 10^8 m/s; 1 eV =
1.60 × 10^-19 J) (1.5 points)
b. Calculate the amount of energy released when one gram of deuterium is fused with
the necessary amount of tritium. Express the result in Kwh. (Note: NA = 6.02 × 10^23
atoms) (1.5 points)
c. Deuterium is a stable isotope of hydrogen and constitutes 0.015% of natural
hydrogen. If we would extract deuterium from the hydrogen in water, how many
liters of water per day would we need to run a one Gwatt power station? (2 points)

Added by Shane Y.

Question

Please give Ace some feedback