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Three miles of an ideal gas kept at constant temperature 300K are compressed from volume of 4L to 1L. Calculate work done in the process where R = 8.31 J/mol/K​

Three miles of an ideal gas kept at constant temperature 300K are compressed from volume of 4L to 1L. Calculate work done in the process where R = 8.31 J/mol/K​
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Three miles of an ideal gas kept at constant temperature 300K are compressed from volume of 4L to 1L. Calculate work done in the process where R = 8.31 J/mol/K​

User Vhristoskov
by
8.2k points

1 Answer

3 votes


{ \boxed{ \red{ \sf{W = 10370.652 \: J}}}}

Step-by-step explanation:

Given,


{ \blue{ \sf{μ = 3}}}


{ \blue{ \sf{ T= 300K}}}


{ \blue{ \sf{ V_(1) = 4L}}}


{ \blue{ \sf{ V_(2) = 1L}}}


{ \blue{ \sf{W = \: ?}}}


{ \blue{ \sf{R = 8.31 \: J/mol/K}}}


{ \purple{ \sf{W = μRT \: l_(n)[ ( V_(2))/( V_(1) )}]}}


{ \purple{ \sf{W = μRT[ l_(n) V_(2) - l_(n)V _(1)}]}}


{ \purple{ \sf{W = 2.303μRT[ log_(1) - log_(4)]}}}


{ \purple{ \sf{W = 2.303 * 3 * 8.31 * 300(0 - 0.6021)}}}


{ \purple{ \boxed{ \green{ \sf{W = 10370.652 \: J}}}}}

User Langley
by
8.1k points
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