Question

An ideal gas expands in volume from $1\times 10^{-3 \, } m^{3}$ to $1\times 10^{- 2 \, } m^{3}$ at 300 K against a constant pressure of $1\times 10^{5}$ $Nm^{- 2}$ . The work done is

• A. -900 kJ
• B. -900 J
• C. 270 kJ
• D. 940 kJ

Answer 1

Answer: (B)

Work done due to change in volume against constant pressure is given as follows

$W=-P\left(V_{2} - V_{1}\right)=-1\times 10^{5}$ $Nm^{- 2}\left(1 \times 1 0^{- 2} - 1 \times 1 0^{- 3}\right)$ $m^{3}$

= -900 Nm

= -900 J