A block of aluminum at is quickly placed into of water at in a perfectly insulated…

PHYSICS · Single correct · GCSE · Physics · Energy · Energy

Problem

A 0.250 kg0.250\,\text{kg} block of aluminum at 150∘C150^{\circ}\text{C} is quickly placed into 0.400 kg0.400\,\text{kg} of water at 25∘C25^{\circ}\text{C} in a perfectly insulated container. The specific heats are cAl=900 J kg−1 ∘C−1c_{\text{Al}}=900\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1} and cw=4186 J kg−1 ∘C−1c_{\text{w}}=4186\,\text{J}\,\text{kg}^{-1}\,^{\circ}\text{C}^{-1}. What is the final equilibrium temperature of the system? (a) 47∘C47^{\circ}\text{C} (b) 40∘C40^{\circ}\text{C} (c) 31∘C31^{\circ}\text{C} (d) 73∘C73^{\circ}\text{C}

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