Question

All of the following equations are statements of the ideal gas law except

a. P = nRTV
b. PV/T = nR
c. P/n = RT/v
d. R = PV/nT

Answer 1

• The first equation, a. PV = nRT, is not a valid statement of the ideal gas law.

Step-by-step explanation:

The basic expression for the ideal gas law is:

• 
  `pV=nRT` .......... [Equation 1]

Where:

• n is the number of moles of the gas

• V is the volume occupied by the gas

• p is the pressure exerted by the gas molecules

• T is the temperature in absolute scale (Kelvin)

• R is the Universal gas constant (0.0821 atm-liter /K-mol or the equivalents in other units)

You can perform different algebraic operations to obtain equivalent equations:

Choice b) Divide equation 1 by T and you get:

• pV / T = nR, which is the choice b. from your list.

Choice c) Divide equation 1 by n × V and you get:

• p/n = RT / V, which is the choice c. from your list.

Choice d) Divide equation 1 n × T and you get:

• pV / (nT) = R, which is the choice d. from your list.

The choice a. p = nRTV states that p and V are in direct relation, when the ideal gas law states that p and V are inversely related, so that equation is wrong.

Conclusion: the choice a, p = nRTV, is not a statement of the ideal gas law.