Solution Found!
A gas expands from 264 mL to 971 mL at constant
Chapter 6, Problem 1PE(choose chapter or problem)
A gas expands from \(264 \mathrm{~mL}\) to \(971 \mathrm{~mL}\) at constant temperature. Calculate the work done (in joules) by the gas if it expands (a) against a vacuum and (b) against a constant pressure of \(4.00 \mathrm{~atm}\).
Questions & Answers
QUESTION:
A gas expands from \(264 \mathrm{~mL}\) to \(971 \mathrm{~mL}\) at constant temperature. Calculate the work done (in joules) by the gas if it expands (a) against a vacuum and (b) against a constant pressure of \(4.00 \mathrm{~atm}\).
ANSWER:Here we have to calculate the work done in the following given conditions
The conditions are,
(a) against a vacuum
(b) against a constant pressure of \(4.00 \mathrm{~atm}\)
Step 1 of 2
Given:
(a) against vacuum
Work done can be calculated as,
\(\begin{aligned}W &=-\int P d V \\&=-P \Delta V \\&=0 \times \Delta V \\&=0\end{aligned}\)
When the gas is expanding against a vacuum, the work would be equal to zero due to the zero external pressure. Thus, the gas does no work to expand.