Calculate the energy required to heat 406.0mg of cyclohexane from 33.5°C to 38.9°C. Assume the specific heat capacity of cyclohexane under these conditions is 1.85·J·g^-1K^-1. Be sure your answer has the correct number of significant digits.

Question

Chemistry

Mendez

7 November, 08:48

Calculate the energy required to heat 406.0mg of cyclohexane from 33.5°C to 38.9°C. Assume the specific heat capacity of cyclohexane under these conditions is 1.85·J·g^-1K^-1. Be sure your answer has the correct number of significant digits.

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Frankie Cooley · Answer 1

Q = 4.056 J

Explanation:

Q = mCΔT

∴ m = 406.0 mg = 0.406 g

∴ C = 1.85 J/g. K

∴ T1 = 33.5°C ≅ 306.5 K

∴ T2 = 38.9°C = 311.9 K

⇒ ΔT = 311.9 - 306.5 = 5.4 K

⇒ Q = (0.406 g) (1.85 J/gK) (5.4 K)

⇒ Q = 4.056 J