A) \[{{x}_{A}}=0.37;{{x}_{B}}=0.63\]
B) \[{{x}_{A}}=0.28;\,{{x}_{B}}=0.72\]
C) \[{{x}_{A}}=0.4;\,\,{{x}_{B}}=0.6\]
D) \[{{x}_{A}}=0.76;6{{x}_{B}}=0.24\]
Correct Answer: B
Solution :
\[{{P}_{A}}={{\chi }_{A}}P_{A}^{0}={{Y}_{A}}{{P}_{T}}\] |
\[{{P}_{T}}={{\chi }_{A}}P_{A}^{0}+{{\chi }_{B}}P_{B}^{0}\] |
\[=0.4\times 7\times {{10}^{3}}+0.6\times 12\times {{10}^{3}}={{10}^{4}}\] |
\[0.4\times 7\times {{10}^{3}}={{Y}_{A}}\times {{10}^{4}}\] |
\[{{Y}_{A}}=0.28\] |
\[{{Y}_{B}}=1-0.28=0.72.\] |
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