At the center of the Sun, the density of the gas is and the composition is essentially 35% hydrogen by mass and 65% helium by mass. (a) What is the number density of protons there? (b) What is the ratio of that proton density to the density of particles in an ideal gas at standard temperature (0°C) and pressure ?
a) The number of density of protons is .
b) The required ratio is .
At the center of the Sun the density of the hydrogen is 35% from the gas density,
The gas density is the number density of H multiplied by the mass of H.
Combine above two equations.
Here, is density, and is mass of hydrogen atom.
Substitute all the known values in equation (1).
Therefore, the number of density of protons is .
From the ideal gas law,
Substitute all the known values in equation (2).
Find the ratio of proton density to the density of particles as follows.
Therefore, the required ratio is .
Question: A nucleus undergoes fission and breaks into two middle-mass fragments, . (a) By what percentage does the surface area of the fission products differ from that of the original nucleus? (b) By what percentage does the volume change? (c) By what percentage does the electric potential energy change? The electric potential energy of a uniformly charged sphere of radius r and charge Q is given by
Roughly 0.0150% of the mass of ordinary water is due to “heavy water,” in which one of the two hydrogens in an molecule is replaced with deuterium, . How much average fusion power could be obtained if we “burned” all the in 1.00 litre of water in 1.00 day by somehow causing the deuterium to fuse via the reaction ?
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