A cylinder containing gas at 27°C is divided into two parts of equal volume each 100 cc and at equal pressure by a piston of cross sectional area 10.85 cm 2 . The gas in one part is raised in temperat

Question

A cylinder containing gas at 27°C is divided into two parts of equal volume each 100 cc and at equal pressure by a piston of cross sectional area 10.85 cm 2 . The gas in one part is raised in temperature to 100°C while the other maintained at original temperature. The piston and wall are perfect insulators. How far will the piston move during the change in temperature?

TestHub · Accepted Answer

Equal final pressures: 373 V + x A ​ = 300 V − x A ​ with V = 100 cc , A = 10.85 cm 2 . 100 − 10.85 x 100 + 10.85 x ​ = 300 373 ​ ⇒ 10.85 x = 673 73 ​ × 100 ⇒ x ≈ 1 cm .

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