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The partial molar volumes of propanone \( \left(\mathrm{CH}_{3} \mathrm{COCH}_{3}\right) \) and butanone \( \left(\mathrm{CH}_{3} \mathrm{COCH}_{2} \mathrm{CH}_{3}\right) \) in a mixture in which mole fraction of propanone is 0.4 are \( 75 \mathrm{~cm}^{3} \mathrm{~mol}^{-1} \) and \( 80 \mathrm{~cm}^{3} \) \( \mathrm{mol}^{-1} \). Thus, the total volume of solution of total mass \( 1 \mathrm{~kg} \), is
(a) \( 1175 \mathrm{~cm}^{3} \)
(b) \( 1000 \mathrm{~cm}^{3} \)
(c) \( 1200 \mathrm{~cm}^{3} \)
(d) \( 972 \mathrm{~cm}^{3} \)
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