Question #26510

Q.1 a) What is the value of acceleration due to gravity in c.g.s units? Convert this to the SI

units.

b) Give the SI units of density and molar mass.

units.

b) Give the SI units of density and molar mass.

Expert's answer

a) The centimetre–gram–second system (abbreviated CGS or cgs) is a variant of the metric system of physical units based on centimetre as the unit of length, gram as a unit of mass, and second as a unit of time. All CGS mechanical units are unambiguously derived from these three base units, but there are several different ways of extending the CGS system to cover electromagnetism.

So, in CGS units of acceleration due to gravity are cm/s^2 and in order to convert them to SI we need to convert cm into meters.

Since 1m=100cm we need to simply devide the CGS value on 100.

b) CGS units for density can be got from the formulae mass=density*volume, since (volume in CGS)= cm^3 and (mass in CGS)=g we get (density in CGS)=g/cm^3

Molar mass units are found the same way and are g/mole

So, in CGS units of acceleration due to gravity are cm/s^2 and in order to convert them to SI we need to convert cm into meters.

Since 1m=100cm we need to simply devide the CGS value on 100.

b) CGS units for density can be got from the formulae mass=density*volume, since (volume in CGS)= cm^3 and (mass in CGS)=g we get (density in CGS)=g/cm^3

Molar mass units are found the same way and are g/mole

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