Question

Two vesseles having volume of 5 litres and 3 litres contain air at pressure of 3 atmosphere and 7 atmospheres resp. What will be the resultant presure when they are connected together with a small tube? Assume temperature remains constant throughout.

Answer 1

Answer on Question #60477-Physics-Molecular Physics-Thermodynamics

Two vessels having volume of 5 liters and 3 liters contain air at pressure of 3 atmosphere and 7 atmospheres resp. What will be the resultant pressure when they are connected together with a small tube? Assume temperature remains constant throughout.

Solution

$$T = \text{const} \rightarrow pV = \text{const}$$ $$p_1V_1 + p_2V_2 = p(V_1 + V_2)$$ $$p = \frac{p_1V_1 + p_2V_2}{V_1 + V_2} = \frac{(5)(3) + (3)(7)}{5 + 3} = 4.5 \text{ atm}$$

Answer: 4.5 atm.

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