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Physics

General

Easy

Question

Two liquids of equal volume are thoroughly mixed. If their specific heat are $C subscript 1 comma end subscript C subscript 2$ , temperatures $theta subscript 1 comma theta subscript 2$ and densities $d subscript 1 comma end subscript d subscript 2$ respectively. What is the final temperature of the rrixture?

$\frac{d_{1} c_{1} θ_{1} + d_{2} c_{2} θ_{2}}{d_{1} θ_{1} + d_{2} θ_{2}}$
$\frac{c_{1} θ_{1} + c_{2} θ_{z}}{d_{1} c_{1} + d_{2} c_{2}}$
$\frac{d_{1} θ_{1} + d_{2} θ_{2}}{c_{1} θ_{1} + c_{2} θ_{2}}$
$\frac{d_{1} c_{1} θ_{1} + d_{2} c_{2} {\dot{θ}}_{2}}{d_{1} c_{1} + d_{2} c_{2}}$

The correct answer is: $fraction numerator d subscript 1 c subscript 1 theta subscript 1 plus d subscript 2 c subscript 2 theta with dot on top subscript 2 over denominator d subscript 1 c subscript 1 plus d subscript 2 c subscript 2 end fraction$

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