Two vessels (A ) and (B ) contain oxygen. The volume of (B ) is twice that of (A ), the pressure of (B ) is thrice that of (A ) and the temperature of (B ) is half of that of (A ). Then, find the ratio of number of molecules of oxygen in ve

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Two vessels (A ) and (B ) contain oxygen. The volume of (B ) is twice that of (A ), the pressure of (B ) is thrice that of (A ) and the temperature of (B ) is half of that of (A ). Then, find the ratio of number of molecules of oxygen in vessels (A ) and (B ).

Quantrex Academy · Accepted Answer

Correct answer: B. (1: 12 )

For vessels (A ) and (B ), ( aligned V_B & =2 V_A p_B & =3 p_A T_B & = T_A 2 aligned ) If (N_A ) and (N_B ) be the number of molecules of oxygens in vessels (A ) and (B ) respectively, then according to ideal gas equation, ( aligned n_B p_A V_A T_A & =n_A p_B V_B T_B N_B M p_A V_A T_A & = N_A M p_B V_B T_B N_B N_A & = p_B V_B T_A p_A V_A T_B N_B N_A & = 3 p_A 2 V_A T_A p_A V_A T_A 2 N_B N_A & = 12 1 N_A N_B = 1 12 N_A: N_B=1: 12 aligned )

Two vessels (A ) and (B ) contain oxygen. The volume of (B ) is twice that of (A ), the pressure of (B ) is thrice that of (A ) and the temperature of (B ) is half of that of (A ). Then, find the ratio of number of molecules of oxygen in vessels (A ) and (B ).

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