Question

The ratio of density of two substances is 1 :2 and that of specific heats is 2:1 . The ratio of thermal capacities per unit volume

Answer 1

Answer:

H=ms

H=pvs

H1/H2=p1v1s1/p2v2s2

H1v2/H2v1=p1s1/p2s2

=1/2×2/1

=1:1

Answer 2

Given :

The ratio of the density = 1 : 2

The ratio of the specific heat = 2 : 1

To find :

The ratio of the thermal capacities for unit volume .

Solution :

Thermal capacity , H = ρ * V * S

Now ,

H$_1$ = ρ$_1$ * V$_1$ * S$_1$        ....(i)

H$_2$ = ρ$_2$ * V$_2$ * S$_2$         ...(ii)

dividing (i) by (ii) ,

[ ( H$_1$ / V$_1$ ) / ( H$_2$ / V$_2$ ) = [ ( ρ$_1$ / ρ$_2$ ) * ( S$_1$ / S$_2$ ) ]

=> The ratio of the thermal capacities for unit volume  = ( 1 / 2 ) * ( 2 / 1 )

=> The ratio of the thermal capacities for unit volume  = 1 : 1

The ratio of the thermal capacities for unit volume is 1 : 1 .