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

10 L of a liquid with specific heat 0.2 cal/g`""^(@)`C has the same thermal capacity as that of 20 L 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
Given that `m_(A) C_(A) = m_(B ) C_(B)`
or `V_(A ) rho_(A) C_(A ) = V_(B) rho_(B) C_(B)`
or `10rho_(A) xx 0.2 = 20 rho_(B) xx 0.3`
or `(rho_(A) )/( rho_(B) ) = (3)/(1)`
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