a weather balloon slowly expands as energy is transferred as heat from the outside air. if the average net pressure is 1.5×10^5m^3, how much work is done by the expanding gas?

Respuesta :

There is only one pressure this situation would be a "constant pressure" process

Answer:

W = [tex]-8.1 * 10^{-2} J[/tex]

Explanation:

The rest of the question actually states that:

**If the average net pressure is 1.5x10^3Pa and the balloons volume increases by 5.4x10^-5 m^3, how much work is done by the expanding gas.**

Work done, W against an external pressure, [tex]P_{ext}[/tex], which causes a change in volume, ΔV of an object is given as:

[tex]W = -P_{ext}[/tex] ΔV

[tex]P_{ext}[/tex] = [tex]1.5 * 10^5 Pa[/tex]

ΔV = [tex]5.4 * 10^{-5} m^3[/tex]

=>  [tex]W = -1.5 * 10^3 * 5.4 * 10^{-5}\\\\W = -8.1 * 10^{-2} J[/tex]

Note: The negative sign denotes that the work is done against external pressure.