Question:
If \(p\), \(T\), \(\rho\) and \(R\) represents pressure, temperature, density and universal gas constant respectively, then the molar mass of the ideal gas is given by
If \(p\), \(T\), \(\rho\) and \(R\) represents pressure, temperature, density and universal gas constant respectively, then the molar mass of the ideal gas is given by
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Density \(\rho = pM/RT\), so \(M = \rho RT/p\).
Updated On: Apr 7, 2026
- \(\frac{\rho RT}{p}\)
- \(\frac{\rho T}{pR}\)
- \(\frac{p}{RT\rho}\)
- \(\frac{RT}{p\rho}\)
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
Ideal gas equation: \(pV = nRT\), and \(n = m/M\).
Step 2: Detailed Explanation:
\(pV = (m/M)RT \rightarrow M = (mRT)/(pV) = \rho RT/p\)
Step 3: Final Answer:
\(M = \rho RT/p\).
Ideal gas equation: \(pV = nRT\), and \(n = m/M\).
Step 2: Detailed Explanation:
\(pV = (m/M)RT \rightarrow M = (mRT)/(pV) = \rho RT/p\)
Step 3: Final Answer:
\(M = \rho RT/p\).
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