MCQ
A piston filled with $0.04\, mol$ of an ideal gas expands reversibly from $50.0\, mL$ to $375\, mL$ at a constant temperature of $37.0\,^oC.$ As it does so, it absorbs $208\, J$ of heat. The values of $q$ and $w$ for the process will be

$(R = 8.314 \,J/mol\,K)\,(\ln 7.5 =2.01)$

  • $q = +208\,J, \,w =-208\,J$
  • B
    $q =-208\,J, w =-208\,J$
  • C
    $q =-208\,J, w = +208\,J$
  • D
    $q = +208\,J, w = +208\,J$

Answer

Correct option: A.
$q = +208\,J, \,w =-208\,J$
a
Solution:-

As the heat is absorbed.

$\therefore q =+208 J$

Now for reversible isothermal process,

$q =- W$

$\therefore W =- q =-208 J$

Hence the values of $q$ and $W$ for the process will be $+208 J$ and $-208 J$ respectively.

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