Which of the following is constant for 1 mole of any ideal gas?

Question

BlackTom AI · Accepted Answer

The question asks which quantity is constant for 1 mole of any ideal gas.

First, recall the ideal gas law: PV = nRT.
Since the question specifies 1 mole, set n = 1, giving PV = RT.

From this, you can derive several related expressions:
- PV is not constant in general because it equals RT, which changes with temperature T.
- V/T is not constant in general because V depends on P and T through the equation V = nRT/P; for n = 1 this becomes V = RT/P, so V/T would be R/P which varies with P.
- PV/T, on the other hand, simplifies to (PV)/T = (RT)/T = R, which is constant because R is the universal gas constant and does not depend on the state of the gas.

Therefore, among the common candidates, the quantity PV/T remains constant (equal to R) for 1 mole of any ideal gas, assuming n = 1. If the options included PV/T, that would be the correct choice; options like PV or V/T would not be universally constant as explained above. If the provided options are missing, the key takeaway is that PV/T = R is the constant relationship for one mole under the ideal gas law.

Which of the following is constant for 1 mole of any ideal gas?

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