An ideal gas has pressure P,volume V and abso | vedclass

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(A) The ideal gas equation is given by $P V = n R T$. Since $n = \frac{m_{total}}{M}$,where $m_{total}$ is the total mass and $M$ is the molar mass,we

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$\frac{P m}{K T}$

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(A) The ideal gas equation is given by $P V = n R T$. Since $n = \frac{m_{total}}{M}$,where $m_{total}$ is the total mass and $M$ is the molar mass,we have $P V = \frac{m_{total}}{M} R T$. Rearranging for density $\rho = \frac{m_{total}}{V}$,we get $P = \frac{\rho R T}{M}$. We know that $R = N_A K$,where $N_A$ is Avogadro's number and $K$ is the Boltzmann constant. Substituting $R$ and noting that the molar mass $M = N_A m$ (where $m$ is the mass of one molecule),we get: $P = \frac{\rho (N_A K) T}{N_A m} = \frac{\rho K T}{m}$. Solving for density $\rho$,we get $\rho = \frac{P m}{K T}$.

An ideal gas has pressure $P$,volume $V$ and absolute temperature $T$. If $m$ is the mass of each molecule and $K$ is the Boltzmann constant,then the density of the gas is:

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