Which of the following statement is correct regarding to the equation,
𝑃
𝑉
=
𝑛
𝑅
𝑇

Question

Which of the following statement is correct regarding to the equation, 
𝑃
𝑉
=
𝑛
𝑅
𝑇

BlackTom AI · Accepted Answer

The question presents the equation PV = nRT, which is the ideal gas law.
Option under consideration: 'n is the number of moles of gas.'
First, recall what each symbol represents in the ideal gas law: P stands for pressure, V for volume, n for the amount of substance (in moles), R is the universal gas constant, and T is the absolute temperature (in Kelvin).
From this, n indeed represents the amount of gas in moles, which is a fundamental part of the equation’s structure. This means changing n while keeping P, V, and T constant would affect the equation balance in a way consistent with the gas law.
A common misconception is to misidentify n as the number of molecules or as mass; however, those are not the standard units used in PV = nRT. The number of molecules would instead be n multiplied by Avogadro's number, which would then relate to moles via n = N/N_A, but the equation as written directly uses moles.
Another potential point of confusion is the role of R. R is the proportionality constant that ensures the units align: P (pressure) times V (volume) equals n (moles) times R (8.314... J/(mol·K)) times T (Kelvin). If units are mismatched, the equation would not hold, even if n is conceptually the correct quantity.
Given that the problem statement constraints are clear but the answer options list is empty, we cannot assess other choices or provide a selection. Nevertheless, the statement that 'n is the number of moles of gas' is the correct interpretation of n in PV = nRT when provided with the standard definitions of the symbols and the ideal gas framework.
Note as a caveat: for real gases, deviations occur and the ideal gas law is an approximation; under non-ideal conditions, additional factors or equations of state would be needed.

SPHY001 Practice Quiz - Unit 13 | LA053

Which of the following statement is correct regarding to the equation, 𝑃 𝑉 = 𝑛 𝑅 𝑇

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