Question

$\footnotesize\sf \red{A \: body \: of \: mass \: "m_{1}" \: of \: a \: substance \: of \: specfic \: head} \\ \footnotesize\sf \red{capacity \: \: \: c_1, \: at \: a \: \: \: temperature \: t_1 \: \: \: i s \: \: mixed \: \: \: \: with} \\ \footnotesize \sf \red{another \: body \: of \: mass \: "m_2"\: of \: specific \: head \: capacity} \\ \footnotesize \sf \red{"c_2" \: at \: a \: lower \: temperature \: t_2 . \: Deduce \: an \: expression} \\ \footnotesize \sf \red{for \: \: \: \: the \: \: \: \: temperature \: \: \: \: \: \: of \: \: \: \: \: \: the \: \: \: \: \: mixture \: \: \: t_3. }$
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Answer 1

Answer:

Heat lost = Heat gain

» m1 c1 (t1 - t3) = m2 c2 (t3 - t2)

» t1 (m1 c1) - t3 (m1 c1) =

t3 (m2 c2) - t2 (m2 c2)

» t1 (m1 c1) + t2 (m2 c2) =

t3 (m2 c2) + t3 (m1 c1)

» t3

= [t1 (m1 c1) + t2 (m2 c2)] / (m1 c1 + m2 c2)

Is the required expression.

Answer 2

Answer:

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