A container containing 8 L of a gas is collected at 119 K and then allowed to expand to 26 L. What must the new temperature be in order to maintain the same pressure (as required by Charles' Law)?

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Answer 1 · 2018-04-28T14:16:36

#386.75# kelvin or #113.6# degrees celsius

Charles's Law states that,

#TpropV# or #T_1/V_1=T_2/V_2# for #n# constant

#T_1,T_2# are the temperatures of the gases

#V_1,V_2# are the volumes of the gases

And so, plugging in our given values, we get:

#(119 \ "K")/(8 \ "L")=T_2/(26 \ "L")#

#T_2=(119 \ "K")/(8color(red)cancelcolor(black)"L")*26color(red)cancelcolor(black)"L"#

#=386.75 \ "K"#