The specific heat for liquid argon and gaseous argon is 25.0 J/mol·°C and 20.8 J/mol·°C, respectively. The enthalpy of vaporization of argon is 6506 J/mol. How much energy is required to convert 1 mole of liquid Ar from 5°C below its boiling point to 1 mole of gaseous Ar at 5°C above its boiling point?6631 J229 J6735 J125 J6610 J

Respuesta :

Answer:

  • 6,735 J

Explanation:

The total energy required to convert 1 mole of liquid from 5°C below its boiling point to 1 mole of gaseous Ar at 5° above its boiling point may be calcualted in three stages:

  • Heating the liquid Ar from 5°C below its boling point to the boiling point

  • Vaporizing the liquid Ar at its boiling temperature

  • Heating the gaseous Ar from its boiling point to 5°C above it.

1) Energy to heat the liquid Ar from 5°C below its boling point to the boiling point:

  • Q₁ = m × C × ΔT = 1 mol × 25.0 J/mol°C × 5°C = 125 J

2) Energy to vaporize the liquid Ar:

  • Q₂ = m × Latent heat of vaporization = 1 mol × 6506 J/mol = 6506 J

3) Energy to heat the gaseous Ar 5°C above its boiling point:

  • Q₃ = m × C × ΔT = 1 mol × 20.8 J/mol°C × 5°C = 104 J

4) Total energy (E)

  • E = Q₁ + Q₂ + Q₃ = 125 J + 6506 J + 104 J = 6735 J ← answer