Ask Question
11 October, 15:56

A piston system absorbs 50.5 J of energy in the form of heat from the surroundings. The piston is working against a pressure of 0.491 atm. The final volume of the system is 56.2 L. What was the initial volume of the system if the internal energy of the system decreased by 106.0 J? (To convert between L∙atm and J, use 1 L∙atm = 101.3 J.)

+5
Answers (1)
  1. 11 October, 18:39
    0
    The initial volume of the system: V₁ = 53.06 L

    Explanation:

    Given: heat absorbed by system: q = 50.5 J, Pressure: P = 0.491 atm, Final volume: V₂ = 56.2 L, The change in the internal energy: ΔE = - 106.0 J

    Initial volume: V₁ = ? L

    According to the First Law of Thermodynamics:

    ΔE = q - PΔV

    ⇒ PΔV = q - ΔE = 50.5 J - (-106.0 J) = 156.5 J

    As, 1 L∙atm = 101.3 J ⇒ 1 J = (1 : 101.3) L∙atm

    ⇒ PΔV = 156.5 J = (156.5 : 101.3) L∙atm = 1.54 L∙atm

    So,

    ΔV = 1.54 L∙atm : P = 1.54 L∙atm : 0.491 atm = 3.14 L

    ∵ ΔV = V₂ - V₁ = 3.14 L

    ⇒ V₁ = V₂ - 3.14 L = 56.2 L - 3.14 L = 53.06 L

    Therefore, the initial volume of the system: V₁ = 53.06 L
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A piston system absorbs 50.5 J of energy in the form of heat from the surroundings. The piston is working against a pressure of 0.491 atm. ...” in 📘 Chemistry if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers