The density of an ideal gas decrease with increase in temperature of the gas, provided the pressure_____.

remain constant

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increase

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decrease

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non of these

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Solution

The correct option is C remain constant
The ideal gas equation is
$P V = n R T = \frac{w}{M} R T$
$P M = \frac{w}{V} R T = ρ R T$
Thus the density of the gas is inversely proportional to its temperature at constant pressure.
Hence, the density of an ideal gas decrease with increase in temperature of the gas,provided the pressure remains constant.

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