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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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