Question

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​

Answer 1

`{ \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}}}}}`