An ideal gas expands isothermally from $10^{- 3} m^{3}$ to $10^{- 2} m^{3}$ at $300 K$ against a constant pressure of $10^{5} N m^{- 2}$ . The work done on the gas is

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An ideal gas occupying a volume of 2 dm3 and a pressure of 5 bar undergoes isothermal and irreversible expansion against external pressure of 1 bar. The final volume of the system and the work involved in the process is

The correct option is C 10 dm3, -800JVi=2dm3,P=5barVf=P1V1Pf=5×21=10dm3Work done=−Pext(Vf−Vi)=−(1)(10−2)=1×105Pa×8×10−3m3=−800J

An ideal gas occupying a volume of 2 d $m^{3}$ and a pressure of 5 bar undergoes isothermal and irreversible expansion against external pressure of 1 bar. The final volume of the system and the work involved in the process is

The correct option is C 10 d $m^{3}$ , -800J
$V_{i} = 2 d m^{3}, P = 5 b a r$
$V_{f} = \frac{P_{1} V_{1}}{P_{f}} = \frac{5 \times 2}{1} = 10 d m^{3}$
Work done $= - P_{e x t} (V_{f} - V_{i})$
$= - (1) (10 - 2)$
$= 1 \times 10^{5} P a \times 8 \times 10^{- 3} m^{3}$
$= - 800 J$