Which amongst the following graphs represents the V-T graph shown in the figure?
Which amongst the following graphs represents the V-T graph shown in the figure?
The correct option is C
Let us analyse each process separately. BC is an isothermal process, which implies that the P-C graph would be represented by a rectangular hyperbola. (Since PV = constant).
This rectangular hyperbola starts at a lower volume V1 and goes to a higher volume as represented in the figure below -
Process AB is an isochoric process, which in a P-V graph would be a vertical line. Also we notice that the temperature drops in this process, whichimplies that the pressure will also drop (since PV=nRT, when V is constant P∝T). Therefore point Acan be anywhere on the line represented in blue in the figure below.
Process C - A
This process is an isobaric process since it represents a curve where V∝T (this is possible only when pressure is a constant, remember Charles' law?). So the process can be represented by a horizontal line in a P-Vgraph. The point where the line joining process A-B and C-A meet is the point A.
Let us analyse each process separately. BC is an isothermal process, which implies that the P-C graph would be represented by a rectangular hyperbola. (Since PV = constant).
This rectangular hyperbola starts at a lower volume V1 and goes to a higher volume as represented in the figure below -
Process AB is an isochoric process, which in a P-V graph would be a vertical line. Also we notice that the temperature drops in this process, whichimplies that the pressure will also drop (since PV=nRT, when V is constant P∝T). Therefore point Acan be anywhere on the line represented in blue in the figure below.
Process C - A
This process is an isobaric process since it represents a curve where V∝T (this is possible only when pressure is a constant, remember Charles' law?). So the process can be represented by a horizontal line in a P-Vgraph. The point where the line joining process A-B and C-A meet is the point A.
