Answer to Question #123154 in General Chemistry for Jimmy

Question

1.00 L of helium gas in a cylinder at 56 800 kPa pressure fills a balloon at 163 kPa at the same temperature. What is the volume of the balloon?

Answer 1

$Boyle's\space law\space is \space a\space gas\space law\space and\space it\space states\space that\space the\space pressure\space of\space a\space given\space mass\space of\space an\space ideal\newline gas\space is\space inversely\space propotional\space to\space its\space volume\space when\space temperature\space is\space kept\space constant. \newline \newline Therefore,\newline\space\space P1V1=P2V2\newline\space\space V2=\dfrac{P1V1}{P2}\newline Convert\space pressure\space into\space atmospheric\space pressure.\newline 1kPa=0.009869atm.\newline56800kPa=??\newline=560.6atm\newline1kPa=0.009869atm\newline163kPa=??\newline=1.6atm\newline \space\space V2=\dfrac{560.6*1}{1.6} \newline \space\space V2=350.3L$