At 27^{circ} C,a closed vessel contains a mix | vedclass

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Question

(B) According to Dalton's Law of partial pressures,the partial pressure of a gas is proportional to its mole fraction $(p_i = x_i 	imes P_{total})$.

Vedclass · Accepted Answer

$p_1 > p_2 > p_3$

Vedclass · Answer

(B) According to Dalton's Law of partial pressures,the partial pressure of a gas is proportional to its mole fraction $(p_i = x_i 	imes P_{total})$. Since the total pressure and temperature are constant,the partial pressure is directly proportional to the number of moles $(n_i)$.Let the weight of each gas be $64 \ g$.$He$$n = 64/4 = 16 \ mol$$CH_4$$n = 64/16 = 4 \ mol$$SO_2$$n = 64/64 = 1 \ mol$Total moles = $16 + 4 + 1 = 21 \ mol$.Partial pressures are calculated as:$p_1 (He) = (16/21) 	imes 210 = 160 \ mm$$p_2 (CH_4) = (4/21) 	imes 210 = 40 \ mm$$p_3 (SO_2) = (1/21) 	imes 210 = 10 \ mm$Therefore,$p_1 > p_2 > p_3$.

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