Which of the following represents the ideal gas law?

The ideal gas law is expressed by the equation that relates pressure, volume, temperature, and the number of moles of a gas. The correct representation incorporates all these variables and is written as ( PV = nRT ), which can be rearranged to emphasize different relationships among the variables.

Option C shows ( P = \frac{nRT}{V} ), which rearranges the ideal gas law to solve for pressure (P). Here, ( P ) represents pressure, ( n ) represents the number of moles of gas, ( R ) is the ideal gas constant, ( T ) is the absolute temperature in Kelvin, and ( V ) is the volume of the gas. This equation indicates that pressure increases with the number of moles and temperature, while it decreases with increasing volume, illustrating the direct and inverse relationships central to gas behavior.

The other options do not accurately encompass the full context or relationships defined by the ideal gas law, as they either omit key variables or misrepresent the relationships among them. Hence, option C accurately reflects the essence of the ideal gas law and its applications in understanding gas behavior.