A bar of iron at is gently placed into of water at contained in a calorimeter

PHYSICS · Single correct · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

A 0.300 kg0.300\,\text{kg} bar of iron at 250∘C250^{\circ}\text{C} is gently placed into 0.500 kg0.500\,\text{kg} of water at 20∘C20^{\circ}\text{C} contained in a calorimeter. Before thermal equilibrium is reached, 8%8\% of the thermal energy that leaves the iron is lost to the surroundings. Taking specific heats as cFe=450 J kg−1 ∘C−1c_{\text{Fe}}=450\,\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? (a) 38∘C38^{\circ}\text{C} (b) 49∘C49^{\circ}\text{C} (c) 33∘C33^{\circ}\text{C} (d) 27∘C27^{\circ}\text{C}

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