A 4.0-kg aluminum block is originally at 10°C. If 160 kJ of heat is added to the block, what is its final temperature? The specific heat capacity of aluminum is 910 J/kg · K.
A) 24°C
B) 34°C
C) 54°C
D) 44°C

Question

Quizplus · Accepted Answer

To find the final temperature, use the formula: Q = mcΔT, where Q is the heat added (160,000 J), m is the mass (4.0 kg), c is the specific heat capacity (910 J/kg·K), and ΔT is the change in temperature. Solving for ΔT gives ΔT = Q / (mc) = 160,000 / (4.0 * 910) = 44°C. The initial temperature is 10°C, so the final temperature is 10°C + 44°C = 54°C.

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