Three liquids with masses $m_1,m_2,m_3$ are thoroughly mixed. If their specific heats are $c_1,c_2,c_3$ and their temperatures $T_1,T_2,T_3$ respectively, then the temperature of the mixture is
Three liquids with masses $m_1,m_2,m_3$ are thoroughly mixed. If their specific heats are $c_1,c_2,c_3$ and their temperatures $T_1,T_2,T_3$ respectively, then the temperature of the mixture is
- A
$\frac{{{c_1}{T_1}\, +\, {c_2}{T_2} \,+\, {c_3}{T_3}}}{{{m_1}{c_1}\, +\, {m_2}{c_2} \,+\, {m_3}{c_3}}}$
- B
$\frac{{{m_1}{c_1}{T_1}\, +\, {m_2}{c_2}{T_2} \,+ \,{m_3}{c_3}{T_3}}}{{{m_1}{c_1} \,+\, {m_2}{c_2} \,+\, {m_3}{c_3}}}$
- C
$\frac{{{m_1}{c_1}{T_1} \,+\, {m_2}{c_2}{T_2} \,+\, {m_3}{c_3}{T_3}}}{{{m_1}{T_1} \,+\, {m_2}{T_2} \,+\, {m_3}{T_3}}}$
- D
$\frac{{{m_1}{T_1} \,+\, {m_2}{T_2} \,+\, {m_3}{T_3}}}{{{c_1}{T_1} \,+ \,{c_2}{T_2} \,+\, {c_3}{T_3}}}$
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