If 1 J of heat is added to a 2.00 g sample of aluminum metal, and the temperature of the metal increases by 1°C, what is the specific heat of aluminum?

Correct answer: B. 0.5 J/g°C

  • A. 1 J/g°C
  • B. 0.5 J/g°C
  • C. 2 J/g°C
  • D. None of the above

Explanation

The specific heat capacity (c) is calculated using the formula Q = mcΔT. Given Q = 1 J, m = 2.00 g, and ΔT = 1°C, rearranging to solve for c gives c = Q / (mΔT) = 1 J / (2.00 g × 1°C) = 0.5 J/g°C. Therefore, Option B is correct as it matches the calculated value. Option A miscalculates the specific heat, Option C incorrectly doubles it, and Option D is incorrect as a valid answer exists.

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About Thermochemistry and Energetics of Chemical Reactions

Thermochemistry measures energy changes in chemical reactions and distinguishes exothermic from endothermic processes. Work covers systems, surroundings and state functions, internal energy, the first law of thermodynamics, enthalpy and Hess's law, including the sign conventions used when heat enters or leaves a system.

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