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Find Î”EÂ° for the reaction below if the process is carried out at a constant pressure...

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Chemistry

Find Î”EÂ° for the reaction below if the process iscarried out at a constant pressure of 1.00 atm andÎ”V (thevolume change) = -24.5 L. (1 L âˆ™ atm = 101 J)
2 CO(g) + O₂ (g) â†’ 2CO₂(g) Î”HÂ° = -566. kJ
Select one:
A. +2.47 kJ
B. -568 kJ
C. -2.47 kJ
D. -564 kJ

Answer & Explanation Solved by verified expert

4.1 Ratings (695 Votes)

Given Î”HÂ° = -566. kJ

Work done , W = P x Î”V

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 1 atm x (-24.5 L )

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -24.5 L atm

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -24.5x101 JÂ Â Â Â Â Â Â Â Â Â Â Â Â Since 1 L atm = 101 J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -2.47x10³ J

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -2.47 kJ

From first law of thermodynamics , Î”HÂ° = Î”EÂ° + W

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Î”EÂ° = Î”HÂ° - W

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -566 kJ - (-2.47 kJ)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = -564 kJ

Therefore option (D) is correct

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