Vessel A contains an ideal gas at a pressure 5 × 1 0 5 Pa and is connected with a heat source which maintains its temperature at 300 K . Another vessel B which has four times greater inner volume cont

Question

Vessel A contains an ideal gas at a pressure 5 × 1 0 5 Pa and is connected with a heat source which maintains its temperature at 300 K . Another vessel B which has four times greater inner volume contains the same gas at a pressure 1 0 5 Pa and is connected to a heat source which maintains its temperature at 400 K. What will be the pressure of entire system if two vessels are connected by a narrow tube tap :-

TestHub · Accepted Answer

R T A ​ P A ​ V A ​ ​ + R T B ​ 4 P B ​ V A ​ ​ = R T A ​ p V A ​ ​ + R T B ​ 4 p V A ​ ​ T A ​ P A ​ ​ + T B ​ 4 P B ​ ​ = T A ​ p ​ + T B ​ 4 p ​ 300 5 × 1 0 5 ​ + 400 4 × 1 0 5 ​ = 300 p ​ + 400 4 p ​ 1200 ( 20 + 12 ) × 1 0 5 ​ = 1200 4 p + 12 p ​ 32 × 1 0 5 = 16 p p = 2 × 1 0 5 N/ m 2

Physics - Heat & Thermo Question with Solution | TestHub

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