Final answer:
The energy required to raise the temperature of 13 g of alcohol from 11°C to 23°C is about 0.0917 kcal, which is closest to the option A) 0.07 kcal.
Step-by-step explanation:
To calculate the energy needed to raise the temperature of 13 g of alcohol from 11°C to 23°C, use the formula Q = mcΔT, where Q is the heat energy, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature (ΔT = final temperature - initial temperature).
Using the provided specific heat of alcohol (0.588 cal/g°C) and the fact that 1 kcal = 1000 cal, we can proceed with the calculation:
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- Mass m = 13 g
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- Specific heat c = 0.588 cal/g°C
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- Change in temperature ΔT = 23°C - 11°C = 12°C
Q = mcΔT = (13 g)(0.588 cal/g°C)(12°C) = 91.728 cal
To convert calories to kilocalories:
Q = 91.728 cal ÷ 1000 cal/kcal = 0.0917 kcal
From the answer options provided:
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- A) 0.07 kcal
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- B) 0.14 kcal
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- C) 0.21 kcal
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- D) 0.28 kcal
The closest answer to 0.0917 kcal is A) 0.07 kcal.