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Ideal Gas Equation

If P, V, M,...

Question

If $P, V, M, T$ and $R$ are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by:

\frac{R T}{P M}

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\frac{P}{R T}

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\frac{M}{V}

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\frac{P M}{R T}

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Solution

The correct option is D $\frac{P M}{R T}$
For ideal gas
PV=RT
V=RT/P
Density is given by
D=M/V
Where M is mass and V is volume
Putting the value of V
D= $\frac{M}{R T / P}$
D= $\frac{M P}{R T}$

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