What is the ideal work for the separation of an equiolar mixture of methane and ethane at $175\backslash$deg C and $3$ bar in a steady$-$flow process into product streams of the pure gases at $35\backslash$deg C and $1$ bar if $\backslash$sigma

T

$\backslash$sigma

$=300$ K$.$

Input your answer in Joules per mole of feed gas.