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Question: For the combustion of one mole acetic acid, work done at 298 K is...

For the combustion of one mole acetic acid, work done at 298 K is

A

0.0 J

B

-2.0 J

C

2.0 J

D

-1.5 J

Answer

0.0 J

Explanation

Solution

The balanced combustion reaction of acetic acid is:

\ceCH3COOH(l)+2O2(g)>2CO2(g)+2H2O(l)\ce{CH3COOH(l) + 2O2(g) -> 2CO2(g) + 2H2O(l)}
  • Reactant gases: 22 moles (only \ceO2\ce{O2} gas)

  • Product gases: 22 moles (only \ceCO2\ce{CO2} gas)

So, the change in moles of gas is:

Δn=22=0\Delta n = 2 - 2 = 0

At constant pressure, the work done is given by:

w=ΔnRTw = -\Delta nRT

Since Δn=0\Delta n = 0, we have:

w=0w = 0