## Volume

$w=-P\Delta V$
and
$w=-\int_{V_{1}}^{V_{2}}PdV=-nRTln\frac{V_{2}}{V_{1}}$

ng1D
Posts: 43
Joined: Wed Sep 18, 2019 12:17 am

### Volume

What is the relationship between volume and work? What would happen if volume increases/decreases?
Last edited by ng1D on Sun Feb 02, 2020 7:41 pm, edited 1 time in total.

Isabella Dal Porto 1H
Posts: 100
Joined: Fri Aug 30, 2019 12:16 am

### Re: Volume

Work=-P$\Delta$V

Posts: 81
Joined: Fri Aug 09, 2019 12:17 am

### Re: Volume

W=-P external x the change in volume! We can observe the increase in average kinetic energy of the molecules by measuring how the temperature of the gas increases. As the gas molecules move faster, they also collide with the piston more often. These increasingly frequent collisions transfer energy to the piston and move it against an external pressure, increasing the overall volume of the gas- thus, the volume is a result of the work being done by the gas.

Ashley Wang 4G
Posts: 103
Joined: Wed Sep 11, 2019 12:16 am

### Re: Volume

For a system containing gases, work can be done by/on the system through the expansion/compression (change in volume) of a gas in a container.

For a constant external pressure, the change in volume can either occur from a change in the number of moles or a change in temperature. In either case, the work of the system is negative if the gas expands, and positive if the gas is compressed (because when a gas expands, its capacity to do work decreases, hence -W).

Hope this helps!