Evaluate the amount of heat produced during a day by a `beta^(-)`- active `Na^(24)` preparation of mass `m= 1.0 mg`. The beta particles are assumed to possess an average kinetic energy equal to `1//3` of the highest possible energy of the given decay. The half-life of `Na^(24)` is `T= 15 hours`.

Evaluate the amount of heat produced during a day by a `beta^(-)`- act

1.	Evaluate the amount of heat produced during a day by a `beta^(-)`- active `Na^(24)` preparation of mass `m= 1.0 mg`. The beta particles are assumed to possess an average kinetic energy equal to `1//3` of the highest possible energy of the given decay. The half-life of `Na^(24)` is `T= 15 hours`.
Answer» The masses are `Na^(24)= 24-0.00903 amu` and `Mg^(24)= 24-0.01496 amu` The reaction is `Na^(24) rarr Mg^(24)+e^(-)+bar(v)_(e )` The maximum `K.E` of electrons is `0.00593xx93MeV= 5.52MeV` Average `K.E.` according to the problem is then `(5.52)/(3)= 1.84MeV` The initial number of `Na^(24)` is `(10^(-3)xx6.023xx10^(23))/(24)=2.51xx10^(19)` The fraction decying in a day is `1-(2)^(-24//15)= 0.67` Hence the heat produced in a day is `0.67xx2.51xx10^(19)xx1.84xx1.602xx10^(-13)` Joul `= 4.95MJ`

Discussion

No Comment Found

Related InterviewSolutions

Using Eq.(6.2e), find the probability `D` of a particle of mass `m` and energy `E` tunneling through the potential barrier shown in fig. where `U(x)=U_(0)(1-x^(2)//l^(2))`.
Employing Eq.(6.2e), find the probability `D` of an electron with energy `E` tunneling through a potential barrier of width `l` and height `U_(0)` provided the barrier is shaped as shown: (a) In fig 6.4 (b) in figure 6.5.
Employing the uncertainty principle, estimate the minimum kinetic energy of an electron confined within a region whose sizes is `l=0.20nm`.
In Bohr’s model of hydrogen atom, which of the following pairs of quantities are quantizedA. Energy and linear momentumB. Linear and angular momentumC. Energy and angular momentumD. None of the above
when a hydrogen atom is raised from the ground state to an excited stateA. P.E. increases and K.E. decreasesB. P.E. decreases and K.E. increasesC. Both kinetic energy and potential energy increaseD. Both K.E. and P.E. decrease
In Bohr model of the hydrogen atom, the lowest orbit corresponds toA. Infinite energyB. The maximum energyC. The minimum energyD. Zero energy
Which of the following statements about the Bohr model of the hydrogen atom is false ?A. Acceleration of electron in `n = 2` orbit is less than that in `n = 1` orbiB. Angular momentum of electron in `n = 2` orbit is more than that in `n = 1` orbitC. Kinetic energy of electron in `n = 2` orbit is less than that in `n = 1` orbiD. Potential energy of electron in `n = 2` orbit is less than that in `n = 1` orbit
An electron in the `n = 1` orbit of hydrogen atom is bound by `13.6 eV`. If a hydrogen atom I sin the `n = 3` state, how much energy is required to ionize itA. 13.6 eVB. 4.53 eVC. 3.4 eVD. 1.51 eV
The wavelength of the first line of Balmer series is `6563 Å`. The Rydbergs constant fro hydrogen is aboutA. `1.09 xx 10^(7)` per mB. `1.09 xx 10^(8) per m`C. `1.09 xx 10^(9) per m`D. `1.09 xx 10^(5) per m`
An electron in the `n = 1` orbit of hydrogen atom is bound by `13.6 eV`energy is required to ionize it isA. 13.6 eVB. 6.53 eVC. 5.4 eVD. 1.51 eV

Evaluate the amount of heat produced during a day by a `beta^(-)`- active `Na^(24)` preparation of mass `m= 1.0 mg`. The beta particles are assumed to possess an average kinetic energy equal to `1//3` of the highest possible energy of the given decay. The half-life of `Na^(24)` is `T= 15 hours`.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment