The relative density of a oak wood is 0.64. What is its density in -
(i) SI system
(ii) CGS system
Answers
The relative density of a substance is defined as the ratio of density of substance to the density of water at 40C
. In this problem first we will find the density of substance in S I unit and then we need to obtain the density of substance in C G S unit. We should know the S I unit of density of substance is kgm−3 and the C G S unit is gcm−3 .
Formula used:
⇒ Relative density = Density of substance/Density of water at 40C …………(1)
Complete step-by-step solution:
We know that, Density of Water at 40C = 1000kgm−3 .
Given, Relative density = 0.64
a. In S I system:-
The density of the substance can be calculated by using the formula,
Relative density = Density of substance/Density of water at 40C
On substituting the given data in above equation, we get
0.64=Density of substance1000
On simplifying the above equation, we get
Density of substance = 0.64×1000
Density of substance in S I unit = 640kgm−3 ………. (2) .
b. In C G S system:-
On Converting S I unit to C G S unit, by using
1kg=1000g and 1m=100cm ………. (3)
Substituting equation (3) in equation (2) , we get
Density of substance = 640×1000(102)3
Density of substance = 640×1000106
On simplifying the above equation, we have
Density of substance = 640×103×10−6
Density of substance = 640×10−3
Density of substance C G S = 0.640gcm−3
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