Question 1

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

Question 2

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

Step-by-step explanation:

Given,

${ \blue{ \sf{μ = 3}}}$

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

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

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

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

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

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

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

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

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

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

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