Answer
$P_{hexane}=112\, mmHg$
$P_{pentane}=127\, mmHg$
$P_{total}=239\, mmHg$
Work Step by Step
Using Raoult's law, we have
$P_{hexane}= x_{hexane}P^{\circ}_{hexane}$
$=0.750\times149.1\, mmHg=112\, mmHg$
$P_{pentane}=x_{pentane}P^{\circ}_{pentane}$
$=(1-0.750)\times 508.5\, mmHg$
$=127\, mmHg$
$P_{total}=P_{hexane}+P_{pentane}$
$=(112+127)\, mmHg=239\, mmHg$