Question

Which of the following represents the ideal gas equation of state?

• A. $PV=nRT$
• B. $P=\rho RT$
• C. $PV=RT$
• D. $PVT=\text{constant}$

Hint:

Exam Tip: If moles are given, always use $PV=nRT$.

Answer 1

The Correct Option is A

Concept:
The ideal gas equation relates pressure, volume, temperature, and amount of gas under ideal assumptions.

Step 1:
For $n$ moles of gas: $$PV=nRT$$ where $P$ = pressure, $V$ = volume, $n$ = moles, $R$ = gas constant, $T$ = absolute temperature.

Step 2:
Pressure multiplied by volume gives energy units, balanced by $nRT$.

Step 3:
Only option (A) gives the complete and correct ideal gas equation.

Step 4:
$PV=RT$ is only valid when $n=1$. Others are incomplete or not the standard form asked.