If substance A has a density of ÏA g/cm3 and substance B has a density of ÏB g/cm3 . Derive an expression for the volume of B that would have the same mass as a volume of A (volA)

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Jarrod RobelLv2

12 Nov 2019

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We have a group Homomorphism Ï which define Ï:G--->G' , and His subgroup of G'. show the following:

a) aâb iff Ï(a)=Ï(b), which defines an equivalence relation onG.

b) the inverse image Ï^-1(H) is a subgroup of G.

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A white dwarf is a type of remnant star that will have about the same mass as the starâ did, but its radius will be much smaller. A certain white dwarf has a mass of 5 x 10³⁰

kg and a radius of about 6300 km.

a. Calculate the average density of the white dwarf in units of kilograms per cubic centimeter.

b. What is the mass of a teaspoon of a material from a whiteâ dwarf? (A teaspoon is about 4 cubicâ centimeters.) Compare this to the mass of something familiar.

c. A neutron star is a type of stellar remnant compressed to even greater densities than a white dwarf. Suppose that a neutron star has a mass 1.6 times greater than the mass of the whiteâ dwarf, but has a radius of only 16 kilometers. What is itsâ density? Compare the mass of 1 cubic centimeter of a neutron star to the total mass of Mount Everestâ (about 5Ã10¹⁰âkg).

a. Calculate the density of the white dwarf using the formulas shown below.

D = m/v where D isâ density, m isâ mass, and v is volume

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The average density of the white dwarf is about -------kilograms per cubic centimeter.

â(Round to the nearest whole number asâ needed.)

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If substance A has a density of ÏA g/cm3 and substance B has a density of ÏB g/cm3 . Derive an expression for the volume of B that would have the same mass as a volume of A (volA)

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If substance A has a density of ÏA g/cm3 and substance B has a density of ÏB g/cm3 . Derive an expression for the volume of B that would have the same mass as a volume of A (volA)