Question

Calculate the amount of energy in the form of heat that is produced when a volume of 2.93l of so2 is converted to 29.3l of so3 according to this process at a constant pressure and temperature of 1 bar and 25 degrees celsius. assume ideal gas behavior

Answer 1

To calculate the amount of energy in the form of heat produced during the conversion of SO₂ to SO₃, we need to convert the given volumes of SO₂ and SO₃ to moles and use the balanced equation to determine the number of moles of SO₂ that reacted. Finally, we can calculate the amount of energy in the form of heat produced using the conversion factor.

Step-by-step explanation:

To calculate the amount of energy in the form of heat produced during the conversion of SO₂ to SO₃, we can use the equation:

2SO₂ (g) + O₂ (g) → 2SO₃ (g) + 198 kJ

We need to convert the given volumes of SO₂ and SO₃ to moles, and then use the balanced equation to determine the number of moles of SO₂ that reacted. Finally, we can use the conversion factor to calculate the amount of energy in the form of heat produced.

First, let's convert the volumes to moles:

2.93 L SO₂ x (1 mol SO₂ / 22.4 L) = 0.131 mol SO₂

29.3 L SO₃ x (1 mol SO₃ / 22.4 L) = 1.309 mol SO₃

According to the balanced equation, 2 mol of SO₂ react to produce 198 kJ of heat. Therefore, 0.131 mol of SO₂ will produce:

(0.131 mol SO₂ x 198 kJ) / 2 mol SO₂ = 12.869 kJ

So, the amount of energy in the form of heat produced when 2.93 L of SO₂ is converted to 29.3 L of SO₃ is approximately 12.869 kJ.