Question

Two liquids, A and B, have equal masses and equal initial temperatures. Each is heated for the same length of time over identical burners. Afterward, liquid A is hotter than liquid B. Which has the larger specific heat?

Answer 1

Answer:

So the specific heat of the liquid B is greater than that of A.

Explanation:

Liquid A is hotter than the liquid B after both the liquids are heated identically for the same duration of time from the same initial temperature then according to heat equation,

$Q=m.c.\Delta T$

where:

m = mass of the body

c = specific heat of the body

$\Delta T=$ change in temperature of the body

The identical heat source supplies the heat for the same amount of time then the quantity of heat supplied is also equal.

So for constant heat, constant mass the temperature change is inversely proportional to the specific of heat of the liquid.

$\Delta T=\frac{Q}{m} \times \frac{1}{c}$

$\Delta T\propto\frac{1}{c}$

So the specific heat of the liquid B is greater than that of A.