Cho 0,015 mol một loại hợp chất oleum vào nước thu được 200 ml dung dịch X. Để trung hoà 100ml dung dịch X cần dùng 200 ml dung dịch NaOH 0,15M. Phần trăm về khối lượng của nguyên tố lưu huỳnh trong oleum trên là
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A.
32,65%.
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B.
35,95%.
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C.
37,86%.
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D.
23,97%.
+) Tìm số mol H2SO4 trong 100 ml dd X => số mol H2SO4 trong 200 ml dd X
$Trong\,200ml\,X:{H_2}S{O_4}.nS{O_3} + n{H_2}O\xrightarrow{{}}(n + 1){H_2}S{O_4}$
$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,015\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,03$
$ \to \frac{{n + 1}}{1} = \frac{{0,03}}{{0,015}} \to oleum$
Gọi CT của oleum là H2SO4.nSO3
${n_{NaOH}} = 0,2.0,15 = 0,03\,mol$ (trong 100ml dd X)
$Trong\,\,\,\,100ml\,\,X:{H_2}S{O_4}\,\,\,\, + \,\,2NaOH\,\,\xrightarrow{{}}\,\,\,N{a_2}S{O_4}\,\,\, + \,\,\,2{H_2}O$
$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,015\,\,\,\,\,\,\,\,\,\,\,\, \leftarrow 0,03$
$Trong\,\,\,\,200ml\,\,X:\,\,\,\,\,{H_2}S{O_4}.nS{O_3}\,\,\,\, + \,\,\,n{H_2}O\xrightarrow{{}}\,\,(n + 1){H_2}S{O_4}$
$\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,015\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0,03$
$ \to \frac{{n + 1}}{1} = \frac{{0,03}}{{0,015}} = 2 \to n = 1 \to oleum:\,{H_2}S{O_4}.S{O_3}$
$ \to \% {m_S} = \frac{{32.2}}{{98 + 80}} \cdot 100\% = 35,95\% $
Đáp án : B