Physics
Physics
Problem
During an isothermal expansion of an ideal gas, the – curve obtained on a graph is best described as a) a straight line with negative slope intersecting the pressure axis b) a parabola opening upward c) a hyperbola approaching both axes asymptotically d) an exponential decay curve approaching the volume axisIntuitive explanation
In an isothermal process, temperature stays constant, which means the product must remain constant for an ideal gas. This relationship——describes a hyperbola, not a straight line. The key insight is recognizing that as volume increases, pressure must decrease in an inverse, nonlinear way to keep their product fixed. Sketching this on a – graph shows a smooth, curved line that drops steeply at first, then levels off.
Intuitive explanation
In an isothermal process, temperature stays constant, which means the product must remain constant for an ideal gas. This relationship——describes a hyperbola, not a straight line. The key insight is recognizing that as volume increases, pressure must decrease in an inverse, nonlinear way to keep their product fixed. Sketching this on a – graph shows a smooth, curved line that drops steeply at first, then levels off.