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10L of a liquid with specific heat 0.2 c...

10L of a liquid with specific heat 0.2 cal/`g""^(@)C` has the same thermal capacity as that of 20L of liquid with specific heat 0.3. Find the ratio of their densities

A

`3:1`

B

`1:3`

C

`1:6`

D

`6:1`

Text Solution

Verified by Experts

The correct Answer is:
A
Give that `m_(A) C_(A)= m_(B) C_(B)`
or `V_(A) rho_(A) C_(A)= V_(B) rho_(B) C_(B)`
or `10 rho_(A) xx 0.2= 20 rho_(B) xx 0.3`
or `(rho_(A))/(rho_(B))= (3)/(1)`
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