Help With Applying PV=Constant Equation

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The discussion centers on applying the equation PV=constant, which is valid for isobaric processes. Participants clarify that in such processes, the relationship between volume (V) and temperature (T) is given by V/T=k. The user seeks assistance in understanding how to use this information to analyze a V-T plot for a mass at constant pressure. Specifically, they inquire about the V-T plot for a quarter of that mass at the same pressure and then at half the pressure. The conversation emphasizes the need for step-by-step guidance in solving the problem before an upcoming exam.
Arun Raja
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Homework Statement


http://puu.sh/c0rhe/fb6b48f890.png

Homework Equations


PV=constant

The Attempt at a Solution



I have no idea how to apply the above equation. Please help.[/B]
 
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The above equation (PV=const) can not be applied. For what process is it valid? What process is the problem about?

ehild
 
It is a isobaric process.
 
Remember the ideal gas law. What equation holds between V and T in an isobaric process?
 
V/T=k

but how is this supposed help me answer the question?
Pls provide some help.
I am having my exams tmrw
 
Perhaps you could do it in a couple of steps?

The graph B shows the V-T plot for a mass m at a constant pressure P. What would be the V-T plot for one quarter of that mass, m/4, at the same constant pressure P?

Finally, what would now be the plot for m/4 at half the pressure, viz., P/2?
 
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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