Two flasks X and Y have capacity 1 L and 2 L respectively and each of them contains 1 mole of a gas. The temperatures of the flasks are so adjusted that average speed of molecules in X is twice as tho

Question

Two flasks X and Y have capacity 1 L and 2 L respectively and each of them contains 1 mole of a gas. The temperatures of the flasks are so adjusted that average speed of molecules in X is twice as those in Y . The pressure of gas in flask X would be

TestHub · Accepted Answer

Average speed of molecules: X = π M 8 R T 1 ​ ​ ​ = 2 π M 8 R T 2 ​ ​ ​ T 1 ​ = 4 T 2 ​ T 1 ​ P 1 ​ V 1 ​ ​ = T 2 ​ P 2 ​ V 2 ​ ​ (where P 1, V l , T 1 are pressure, volume and temperature for gas X and P 2 , V 2 , T 2 for gas Y respectively) P 1 ​ = 8 P 2 ​ .

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