Is Work Positive or Negative in Thermodynamics?

AI Thread Summary
Work in thermodynamics can be confusing, especially regarding its sign. Positive work is done on a gas when it is compressed, resulting in a decrease in volume, while negative work occurs when the gas expands, requiring no external work. The differential work equation, δW = -pdV, highlights that dV is positive for volume increases, but the sign of work depends on whether it is done on or by the system. Chemists typically focus on the system's perspective, while engineers and physicists emphasize the work aspect. Understanding this distinction is crucial for grasping thermodynamic principles.
Haftred
Messages
53
Reaction score
0
I am confused about work. If I do positive work ON a gas, does the volume decrease on increase? Essentially, I am just confused about when work is negative and when it is positive. Hopefully someone can clarify this for me.

Thanks.
 
Physics news on Phys.org
Differential work is defined as
\delta W=<img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f61b.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":-p" title="Stick Out Tongue :-p" data-smilie="7"data-shortname=":-p" />dV

in the case of a gas which doesn't interact with the surroundings through other means.

Daniel.

PS.Judge it for yourself...
 
It takes work to compress a gas, but it takes no work at all to let one expand.

- Warren
 
dE = δq + δw , differential change in internal energy of a system equals the sum of the heat added to the system plus the work done on the system, where δw = - PdV, and dE = δq - δw, diff. change in energy equals heat added minus the work done by the system, where w = PdV. The first statement is commonly (not always) used in chemical thermodynamics, and the second is commonly used by engineers and physicists. dV is positive for an increase in the volume of the system for both statements; the distinction in the sign of w is made when one considers whether work is defined to be done on or by the system. Chemists emphasize the system, engineers and physicists emphasize the work.
 
Belly Button

our teacher keeps telling us this to remember work - you know how people can either have innie or outie belly buttons? well, most people have innies, but there are outies, too. since most people have innies, innies are thought of as "good". Now, if work is going into the gas (innie) then work is positive. if work is going out of the gas (outtie) it's negative. weird, but it works! (hahah no pun intended) :wink:
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
Back
Top