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(B) For an ideal gas undergoing a process at constant pressure (isobaric process),the work done $W$ is given by the formula:$W = P\Delta V$Using the i

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$291$

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(B) For an ideal gas undergoing a process at constant pressure (isobaric process),the work done $W$ is given by the formula:$W = P\Delta V$Using the ideal gas equation $PV = nRT$,for a constant pressure process,we have $P\Delta V = nR\Delta T$.Given:Number of moles $n = 0.5\, mol$Gas constant $R = 8.31\, J/mol\cdot K$Change in temperature $\Delta T = 90\,^oC - 20\,^oC = 70\, K$Substituting the values into the formula:$W = nR\Delta T$$W = 0.5 	imes 8.31 	imes 70$$W = 290.85\, J$Rounding to the nearest integer,the work done is approximately $291\, J$.

Half a mole of an ideal monoatomic gas is heated at a constant pressure of $1\, atm$ from $20\,^oC$ to $90\,^oC$. The work done by the gas is close to ..... $J$ (Gas constant $R = 8.31\, J/mol\cdot K$).

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