First slide

Questions on calorimetry without phase change

Question

A liquid of mass M and specific heat S is at temperature 2t. If another liquid of thermal capacity 1.5 times at a temperature of t/3 of same mass is added to it, the resultant temperature will be

Easy

A

(4/3)t
B

t
C

t/2
D

2t/3

Solution

$t_{0} = \frac{M_{1} S_{1} t_{1} + M_{2} S_{2} t_{2}}{M_{1} S_{1} + M_{2} S_{2}} Given : M_{1} = M, S_{1} = S, t_{1} = 2 t M_{2} S_{2} = \frac{3}{2} MS, t_{2} = \frac{t}{3} ∴ t_{0} = \frac{2 MSt + \frac{3}{2} \times \frac{t}{3} MS}{MS + \frac{3}{2} MS} = t$

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