In isothermal expansion,the pressure is deter | vedclass

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(B) For an isothermal process,the temperature $T$ remains constant.By definition,the isothermal compressibility $\beta_T$ is given by $\beta_T = -\fra

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Compressibility only

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(B) For an isothermal process,the temperature $T$ remains constant.By definition,the isothermal compressibility $\beta_T$ is given by $\beta_T = -\frac{1}{V} \left( \frac{\partial V}{\partial P} \right)_T$.For an ideal gas,$PV = nRT$,so $P = \frac{nRT}{V}$.Since $T$ is constant,the pressure $P$ is inversely proportional to the volume $V$,and the compressibility is defined as $\beta_T = \frac{1}{P}$.Therefore,the pressure $P$ is determined by the reciprocal of the isothermal compressibility,i.e.,$P = \frac{1}{\beta_T}$.

In isothermal expansion,the pressure is determined by

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