42.4k views
4 votes
How much work (in J) is involved in a chemical reaction if the volume decreases from 4.85 to 1.07 L against a constant pressure of 0.837 atm?

a) Positive work

b) Negative work

c) Zero work

d) Insufficient information

User EzChx
by
7.8k points

1 Answer

3 votes

Final answer:

Calculating the work done in a chemical reaction with a volume decrease at constant pressure yields a positive work of 318.7 J, according to the sign convention of thermodynamics.

Step-by-step explanation:

The question involves calculating the pressure-volume work done in a chemical reaction where the volume decreases against a constant pressure. Work done (W) by a gas is calculated using the formula W = -PΔV, where P is the pressure and ΔV is the change in volume. Since 1 L'atm = 101.32 J, we can use this conversion factor to find work in joules. We first convert the pressure from atm to the compatible unit by multiplying by 101.32 J/L·atm, then multiply by the change in volume:

(-0.837 atm) × (1.07 L - 4.85 L) × (101.32 J/L·atm) = 318.7 J. As the volume decreases, the work is considered positive according to the sign convention of thermodynamics.

User Magnotta
by
8.7k points