Heat removed from a gas in a cylinder

AI Thread Summary
The discussion revolves around calculating the distance a piston drops in a cylinder containing a monatomic ideal gas when 2093 J of heat is removed. The process is identified as isobaric, meaning pressure remains constant, and the work done can be expressed as W = P * A * (change in d). Participants suggest using the equation Uf - Ui = Q - w to relate internal energy changes to heat and work. There's a focus on how the removal of heat affects temperature and volume, emphasizing the connection between temperature change and volume in an isobaric process. Understanding the implications of heat capacity for monatomic gases is also highlighted as crucial for solving the problem.
Jared944
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Homework Statement



A piston (with an area of 3.14 x 10^-2 m/s^2) is pushing down on a vertical cylinder (with a pressure of 1.01 x 10^5 Pa) which contains an monotomic ideal gas. 2093 J of heat is removed from the gas.
Ignoring the mass of the piston or friction, find how far the piston has dropped.

Homework Equations



I believe that I will have to use Uf-Ui = Q - w,

but I have already figured that the process would have to be isobaric, whoch is goverend by the equation W = P (Vf-Vi), which can be suited to our needs by using distance multiplied by area for the volume, so
W = P A(change in d)

Im wondering if I am going to have to use formulas related to specific heat capacities, but I am not quite sure. Any ideas?
 
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Jared944 said:
A piston (with an area of 3.14 x 10^-2 m/s^2) is pushing down on a vertical cylinder (with a pressure of 1.01 x 10^5 Pa) which contains an monotomic ideal gas. 2093 J of heat is removed from the gas.
Ignoring the mass of the piston or friction, find how far the piston has dropped.

Homework Equations



I believe that I will have to use Uf-Ui = Q - w,

but I have already figured that the process would have to be isobaric, whoch is goverend by the equation W = P (Vf-Vi), which can be suited to our needs by using distance multiplied by area for the volume, so
W = P A(change in d)

Im wondering if I am going to have to use formulas related to specific heat capacities, but I am not quite sure. Any ideas?
(hint: when you see "monatomic" or "diatomic" mentioned in a problem there is likely going to be an issue involving heat capacity). You don't have to calculate the work done here.

This is an isobaric process since the force on the cylinder does not change. So how is T related to V?

If you remove 2093 J. how much does the temperature change? Work out final V from that.

AM
 
Thread 'Variable mass system : water sprayed into a moving container'

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}...
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