AP EAMCET · PHYSICS · Thermal Properties of Matter
A metal block is made from a mixture of 2.4 kg of aluminium, 1.6 kg of brass and 0.8 kg of copper. The metal block is initially at \(20^{\circ} \mathrm{C}\). If the heat supplied to the metal block is 44.4 calories, find the final temperature of the block if specific heats of aluminium, brass and copper are \(0.216,0.0917,0.0931 \mathrm{cal} . \mathrm{kg}^{-1} \mathrm{C}^{-1}\) respectively.
- A \(100^{\circ} \mathrm{C}\)
- B \(60^{\circ} \mathrm{C}\)
- C \(40^{\circ} \mathrm{C}\)
- D \(80^{\circ} \mathrm{C}\)
Answer & Solution
Correct Answer
(D) \(80^{\circ} \mathrm{C}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } \mathrm{Q}=\left(\mathrm{m}_1 \mathrm{~s}_1+\mathrm{m}_2 \mathrm{~s}_2+\mathrm{m}_3 \mathrm{~s}_3\right) \Delta \mathrm{T} \\ & \Rightarrow 44.4=(2.4 \times 0.216+1.6 \times 0.0917+0.8 \times 0.0931) \Delta \mathrm{T} \\ & \Rightarrow \Delta…
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