Question

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.

Answer 1

Q = 4.056 J

Step-by-step 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