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250 mL of nitrogen maintained at 720 mm pressure and 380 mL of oxygen maintained at 650 mm pressure of the misture ? |
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Answer» Solution :Step 1. To CALCULATE the partial pressure of nitrogen `{:("Given Conditions","Final Conditions"),("VOLUME "V_(1)=250 mL,V_(2)=1000 mL),("Pressure "P_(1)=720 mm,P_(2)=? mm):}` Applying Boyle's Law (since the temperature remains constant), `P_(2)V_(2)=P_(1)V_(1),i.e., "" 1000xxP_(2)=720xx250"or" P_(2)=(720xx250)/(1000)=180 mm` Thus, the partial pressure due to nitrogen `(p_(n_(2)))=180 mm`. Step 2. To calculate the partial pressure of oxygen `{:("Given Conditions","Final Conditions"),(V_(1)=380 mL,V_(2)=1000 mL),(P_(1)=650 mm,P_(2)=? mm):}` Applying Boyle's Law (since the temperature remains constant), `P_(2)V_(2)=P_(1)V_(1),i.e.,1000xxP_(2)=380xx650 "or" P_(2)=(380xx650)/(1000)=247 mm` Thus, the partical pressure due to oxygen `(p_(o)_(2))`=247 mm. Step 3. To calculate the final pressure of the gaseous mixture. If P is the final pressure of the gaseous mixture, then according to Dalton's Law of Partial Pressures, `P=P_(n_(2))+P_(o_(2))=180+247=427 mm`. |
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