Which of the following expressions does not represent equation of state of an ideal gas?

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$p V = n R T$

$p M = ρ R T$

$p = ρ R T$

$p V = \frac{1}{3} m N \bar{u^{2}}$

answer is C.

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Detailed Solution

The following expressions does not represent equation of state of an ideal gas is $p = ρ R T$ .

The standard equation of the ideal gas is, $p v = n R T$ . Where, $p, v, n, R$ and $T$ are the pressure, volume, number of mole, universal gas constant and temperature.

An ideal gas is a fictitious gas that, because of its tiny size and lack of interactions, perfectly complies with the gas laws. Ideal gas is a gas that abides by all gas laws at all pressures and temperatures.

Hence option C is correct.

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