Define the gas constant R in terms of work. | vedclass

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Question

(B) The ideal gas equation is given by $PV = nRT$. From the first law of thermodynamics,work done $W$ by an ideal gas during expansion is related to t

Vedclass · Accepted Answer

$R = \frac{W}{nT}$

Vedclass · Answer

(B) The ideal gas equation is given by $PV = nRT$. From the first law of thermodynamics,work done $W$ by an ideal gas during expansion is related to the pressure-volume product. Since $PV$ has the dimensions of energy or work,we can express the gas constant $R$ as $R = \frac{PV}{nT}$. Substituting work $W$ for $PV$,we get $R = \frac{W}{nT}$. Thus,$R$ represents the work done per mole per unit temperature change.

Define the gas constant $R$ in terms of work.

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