Question

Mass and specific heats of liquids A, B and C are shown below.

Liquid	Mass		Specific heat
A B C	$m_1$ $m_2$ $m_3$		$s_l$ $s_2$ $s_3$

If the three are mixed, find the resultant specific heat S of the mixture.

Answer 1

If three substances of masses $m_1,m_{2}and{m}_3$. Specific heats $S_1,S_{2}and{S}_3$ at same temperature, then effective specific heat of the mixture is
$S=\frac{m_1{S}_1+m_2{S}_2+m_3{S}_3}{m_1+m_2+m_3}$
If $m_1=m_2=m_3$ then,
$S=\frac{(S_1+S_2+S_3)}{3}$