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Using the equation of state pV = nRT show that at a given temperature, the density of the gas is proportional to the gas pressure p. |
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Answer» According to ideal gas equation : pV = nRT or p = \(\frac{nRT}{V}\) n = \(\frac{Mass\ of\ gas(m)}{Molar\ mass\ of\ gas(M)}\) p = \(\frac{mRT}{MV}\) Now density, d = \(\frac{m}{V}\) ∴ p = \(\frac{dRT}{M}\) Or d ∝ p at constant temperature. |
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