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Relationship between Temperature, Pressure and Volume

The density o...

Question

The density of a gas at $27^{0} C$ and 1 atm is d. Pressure remaining constant at the following temperature its density becomes 0.75 d

36⁰C

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127⁰C

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30⁰C

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54⁰C

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Solution

The correct option is B
127⁰C

$d = \frac{P M}{R T}$
$\frac{d_{1}}{d_{2}} = \frac{T_{2}}{T_{1}}$
$\frac{d}{0.75 d} = \frac{T_{2}}{300}$
$T_{2} = 400 k = 127^{0} C$

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