A box of 1 l capacity is divided into two equal compartments by a thin partition, which is filled with 2 g hydrogen and 16 g methane, respectively. The pressure in each compartment is recorded as P at

Question

A box of 1 l capacity is divided into two equal compartments by a thin partition, which is filled with 2 g hydrogen and 16 g methane, respectively. The pressure in each compartment is recorded as P atm. The total pressure when the partition is removed will be [13]

Prashant Kotian · Accepted Answer

Correct answer: A. Initially, V1 = V2 = 0.5 l. Moles of = 2/2 = 1 mol [13]. Moles of = 16/16 = 1 mol [13]. Since pressure in both is P, we have P = 1*R*T / 0.5 [13]. When the partition is removed, V_total = 1.0 l and n_total = 2 mol [13]. P_final = 2*R*T / 1.0 = R*T / 0.5 = P [13].

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