For a process with ΔH = 200 kJ and ΔS = 0.5 kJ/K, what is ΔG at 400 K?

Practice Questions

Q1
For a process with ΔH = 200 kJ and ΔS = 0.5 kJ/K, what is ΔG at 400 K?
  1. 200 kJ
  2. 180 kJ
  3. 220 kJ
  4. 160 kJ

Questions & Step-by-Step Solutions

For a process with ΔH = 200 kJ and ΔS = 0.5 kJ/K, what is ΔG at 400 K?
  • Step 1: Identify the values given in the problem. We have ΔH = 200 kJ, ΔS = 0.5 kJ/K, and T = 400 K.
  • Step 2: Write down the formula for calculating ΔG, which is ΔG = ΔH - TΔS.
  • Step 3: Calculate TΔS by multiplying T (400 K) by ΔS (0.5 kJ/K). This gives us TΔS = 400 K * 0.5 kJ/K = 200 kJ.
  • Step 4: Substitute the values into the ΔG formula: ΔG = 200 kJ - 200 kJ.
  • Step 5: Perform the subtraction: 200 kJ - 200 kJ = 0 kJ.
  • Step 6: Conclude that ΔG = 0 kJ.
  • Gibbs Free Energy – The relationship between enthalpy (ΔH), entropy (ΔS), and temperature (T) to determine the spontaneity of a process using the equation ΔG = ΔH - TΔS.
  • Units of Measurement – Understanding the units of ΔH (kJ) and ΔS (kJ/K) and ensuring consistency in calculations.
  • Temperature in Kelvin – Recognizing that temperature must be in Kelvin for thermodynamic calculations.
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