MCQ
If three moles of an ideal gas at $300 \mathrm{~K}$ expand isotherrnally from $30 \ \mathrm{dm}^3$ to $45 \ \mathrm{dm}^3$ against a constant opposing pressure of $80 \ \mathrm{kPa}$, then the amount of heat transferred is___________ $\mathrm{J}$.
  • A
    $1100$
  • B
    $3200$
  • C
    $4700$
  • $1200$

Answer

Correct option: D.
$1200$
d
Using, first law of thermodynamics,

$ \Delta \mathrm{U}=\mathrm{Q}+\mathrm{W}, $

$ \Delta \mathrm{U}=0: \text { Process is isothermal } $

$ \mathrm{Q}=-\mathrm{W} $

$ \mathrm{W}=-\mathrm{P}_{\text {ext }} \Delta \mathrm{V}: \text { Irreversible } $

$ =-80 \times 10^3(45-30) \times 10^{-3} $

$ =-1200 \mathrm{~J}$

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