A container with a volume of #12 L# contains a gas with a temperature of #240^o C#. If the temperature of the gas changes to #450 ^o K# without any change in pressure, what must the container's new volume be?

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Answer 1 · 2016-08-13T20:35:54

#"The final volume is "10.53L#

#"The given data:"#
#V_i:"Initial volume of gas ;"V_i=12L#
#V_f:"Final volume of gas ;"V_f=?#

#T_i:"Initial temperature of gas ;"T_i=240^o C#
#T_i=240+273=513^o K#

#T_f:"Final temperature of gas ;"T_f=450^o K#

#V_i/T_i=V_f/T_f#

#12/513=V_f/450#

#V_f=(12*450)/513#

#V_f=5400/450#

#V_f=10.53L" rounded to two decimal place"#