First Law of Thermodynamics - Isobaric Cooling

AI Thread Summary
An ideal monatomic gas undergoes an isothermal expansion from 1 L to 2 L at an initial pressure of 3 atm and temperature of 90 degrees Celsius, followed by isobaric cooling. The total work done during these processes is to be calculated using the integral w2→3=∫PdV. The user is uncertain about calculating the new pressure at state 2 using the equation P1V1=P2V2 and is unsure of the final volume after the adiabatic compression back to the initial state. Clarification is needed on how to determine the volume after the cooling phase to complete the work calculation. Understanding these transitions is crucial for accurately applying the First Law of Thermodynamics in this scenario.
chromium1387
Messages
16
Reaction score
0

Homework Statement



An ideal monatomic gas has an initial pressure of 3 atm, an initial volume of 1 L, and is at an initial temperature of 90 degrees Celsius. It first expands isothermically to 2 L and is then cooled isobarically to a point where it is adiabatically compressed to its initial state. Calculate the total work done.

Homework Equations


w2→3=∫PdV=P(V2-V1


The Attempt at a Solution


Alright. I think I pretty much know what to do, but I am still a little confused. So, I've found the work done after the transition from state 1 to state 2. From there, can I calculate the new pressure at state 2 with P1V1=P2V2? And then, once I have my second pressure, this will be the pressure I use in my integral above. However, I do not know the volume the gas will be after the transition to the third state, which is what I need to find the value of the integral, correct? Or am I missing something?
 
Physics news on Phys.org
"...where it is adiabatically compressed to its initial state."
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Isothermal, isobaric and adiabatic
Replies
6
Views
2K
Closed cycle of an ideal gas
Replies
3
Views
1K
Calculating ΔE Difference for 2 Samples of Monatomic Ideal Gas
Replies
4
Views
2K
Thermodynamics First Law Question
Replies
4
Views
3K
Ideal Gas Law -- Isobaric Epansion followed by....
Replies
9
Views
2K
To find total work done from multiple reversible processes
Replies
3
Views
1K
Internal energy won't add up to 0 in cyclic process
Replies
1
Views
863
Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
Replies
8
Views
2K
Mixing two ideal gases with different V, T at constant pressure
Replies
16
Views
3K
Calculate the work (Thermodynamics)
Replies
11
Views
1K

Hot Threads

Recent Insights

Back
Top