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​

[tex]{ \boxed{ \red{ \sf{W = 10370.652 \: J}}}}[/tex]Explanation:Given,[tex]{ \blue{ \sf{μ = 3}}}[/tex][tex]{ \blue{ \sf{ T= 300K}}}[/tex][tex]{ \blue{ \sf{ V_{1} = 4L}}}[/tex][tex]{ \blue{ \sf{ V_{2} = 1L}}} [/tex][tex]{ \blue{ \sf{W = \: ?}}}[/tex][tex]{ \blue{ \sf{R = 8.31 \: J/mol/K}}}[/tex][tex]{ \purple{ \sf{W = μRT \: l_{n}[ \frac{ V_{2}}{ V_{1} }}]}} [/tex][tex]{ \purple{ \sf{W = μRT[ l_{n} V_{2} - l_{n}V _{1}}]}}[/tex][tex]{ \purple{ \sf{W = 2.303μRT[ log_{1} - log_{4}]}}}[/tex][tex]{ \purple{ \sf{W = 2.303 \times 3 \times 8.31 \times 300(0 - 0.6021)}}}[/tex][tex]{ \purple{ \boxed{ \green{ \sf{W = 10370.652 \: J}}}}}[/tex]