Compute the amount of work done by a gas which is being isobarically heated from $27^{\circ} C$ to $127^{\circ} C$ . if it is in vessel closed by a movable piston with a cross-sectional area of $20 c m^{2}$ and weighting 5 kg. Consider two case(1) the vessel is arranged horizontally (Figure-a), and (2) the vessel is arranged vertically (Figure-b). The initial volume of the gas is 6 litres. Assume standard atmospheric pressure = 100kPa. Neglect friction. Fill $(w_{1} + w_{2}) / 50 (i n J)$ in OMR.

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Detailed Solution

$w_{1} = P Δ U = 10^{5} \times [8 - 6] \times 10^{- 3} = 200 J P V = n R T P V = n R \times 300 P V' = n R \times 400 \frac{v'}{v} = \frac{4}{3} v' = 8 l P_{2} = p_{0} + \frac{m g}{A} = 10^{5} + \frac{5 \times 10}{20 \times 10^{- 4}} = 10^{5} + 2.5 \times 10^{4} w_{2} = 12.5 \times 10^{4} \times [8 - 6] \times 10^{- 5} = 250 J w_{1} + w_{2} = 450 J$