Given two identical cylinders 1 and 2 with moveable tight pistons, containing equal amounts of the same ideal gas at equal initial temperatures and volumes. Then both pistons are allowed to slide outw

Question

Given two identical cylinders 1 and 2 with moveable tight pistons, containing equal amounts of the same ideal gas at equal initial temperatures and volumes. Then both pistons are allowed to slide outward such that each gas expands to the same multiple of its initial volume. If this process is adiabatic in cylinder 1 and isothermal in cylinder 2, where is the final pressure larger?

TestHub · Accepted Answer

For the same expansion ratio, adiabatic cooling makes the adiabatic pressure fall below the isothermal pressure. P iso ​ = r P i ​ ​ vs P a d ​ = r γ P i ​ ​ with r > 1 : P iso ​ > P a d ​ , so larger in cylinder 2.

Physics - Heat & Thermo Question with Solution | TestHub

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