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In Physics / Senior High School | 2025-05-23

The ideal gas equation says that the product of the pressure, P, and the volume of a gas, V, is equal to the number of moles of the gas, n, times the gas constant, R, times the temperature of the gas, T. Which of the following equations is equivalent to the ideal gas equation?

Asked by Laizapadilla1875

Answer (1)

The ideal gas equation is PV = nRTFormulas for Solving1. Solve for pressure (P)[tex] \bold{P = \frac{nrt}{v} }[/tex]2. Solve for volume (V)[tex] \bold{V = \frac{nrt}{p} }[/tex]3. Solve for temperature (T)[tex] \bold{T = \frac{pv}{nr} }[/tex]4. Solve for number of moles (n)[tex] \bold{n = \frac{pv}{rt} }[/tex] All these forms are equivalent because they come from the original equation by simple algebraic rearrangement.Ideal Gas LawThe ideal gas law relates four variables,pressure (P)volume (V)temperature (T) and,amount of gas in moles (n)The gas constant (R) is a fixed number. By rearranging the original equation, you express one variable in terms of the others, but the relationship between them stays the same. So any of these rearranged forms is equivalent to the original ideal gas equation.

Answered by CloudyClothy | 2025-05-24