An isothermal process has a non-linear graph | vedclass

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(B) In an isothermal process, the temperature $T$ remains constant throughout the process.According to the ideal gas equation, $PV = nRT$.Since $T$ is

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Pressure and Volume

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(B) In an isothermal process, the temperature $T$ remains constant throughout the process.According to the ideal gas equation, $PV = nRT$.Since $T$ is constant, $PV = 	ext{constant}$.This implies that $P = \frac{	ext{constant}}{V}$, which represents a rectangular hyperbola in a $P-V$ graph.Therefore, the relationship between pressure $(P)$ and volume $(V)$ is non-linear.In contrast, the relationship between $P$ and $T$, $V$ and $T$, or $PV$ and $T$ would be linear (or constant) in an isothermal process.

An isothermal process has a non-linear graph between:

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Two ideal gases $A$ and $B$ of the same number of moles expand at constant temperatures $T_1$ and $T_2$ respectively such that the pressure of gas $A$ decreases by $50 \%$ and the pressure of gas $B$ decreases by $75 \%$. If the work done by both the gases is same, then $T_1: T_2$ is:

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During an isothermal expansion of an ideal gas,

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