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< Question 3 of 11 > If 57.5 mol of an ideal gas is at 7.43 atm at 60.00 °C, what is the volume of the gas? aboutus career pr
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T o space s o l v e space t h i s space q u e s t i o n space w e space w i l l space u s e space I d e a l space g a s space l a w colon space P V equals n R T bold italic W bold italic h bold italic e bold italic r bold italic e bold comma bold space P space equals space P r e s s u r e space o f space g a s V space equals space V o l u m e n space equals space n u m b e r space o f space m o l e s R space equals space U n i v e r s a l space g a s space c o n s tan t T space equals space I s space t h e space t e m p e r a t u r e bold italic G bold italic i bold italic v bold italic e bold italic n bold space bold italic D bold italic a bold italic t bold italic a bold colon P space equals space 7.43 space a t m V space equals space ? n space equals space 57.5 space m o l R space equals space 0.0821 space L times a t m divided by m o l times K T space equals space 60.00 space degree C space equals space 60.00 plus 273.15 space equals space 333.15 space K N o w comma space s o l v e space t h e space g a s space l a w space e q u a t i o n space f o r space apostrophe V apostrophe V equals fraction numerator n times R times T over denominator P end fraction S u b s t i t u t e space t h e space v l u e s comma V equals fraction numerator left parenthesis 57.5 space m o l right parenthesis cross times left parenthesis 0.0821 space L times a t m divided by m o l times K right parenthesis cross times left parenthesis 333.15 space K right parenthesis over denominator 7.43 space a t m end fraction V equals fraction numerator left parenthesis 57.5 space up diagonal strike m o l end strike right parenthesis cross times left parenthesis 0.0821 space L times up diagonal strike a t m end strike divided by up diagonal strike m o l end strike times up diagonal strike K right parenthesis cross times left parenthesis 333.15 space up diagonal strike K right parenthesis over denominator 7.43 space up diagonal strike a t m end strike end fraction V equals fraction numerator 1572.71786 space L over denominator 7.43 end fraction V equals 211.67 space L

Hence the volume of the gas is: 211.67 L

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