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An ideal gas is enclosed in a cylinder with a movable piston on top. The piston has mass of $8000 g$ and an area of $5.00 c m^{2}$ and is free to slide up and down, keeping the pressure of the gas constant. How much work is done as the temperature of $0.200 m o l$ of the gas is raised from $200 ° C$ to $300 ° C$ ?

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$346.2 J$

$276.2 J$

$635.2 J$

$166.2 J$

answer is D.

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Detailed Solution

$p V = n R T$

$∴ p Δ V = n R Δ T$

Work done under constant pressure is

$W = p Δ V = n R Δ T$

$= (0.2) (8.31) (100)$

$= 166.2 J$

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