450 ml of oxygen gas is collected at 27-C- If for a particular use- the volume has to be reduced to 13 of its original volume- find the temperature to which the gas has to be cooled - -pressure constant-

Let V1 nbsp; nbsp; nbsp; nbsp;be nbsp;the nbsp;original nbsp;volume nbsp;of nbsp;the nbsp;oxygen nbsp;gas nbsp;= nbsp;450 nbsp;ml ...

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Standard XII

Physics

Ideal Gas Equation

450 ml of oxy...

Question

450 ml of oxygen gas is collected at 27°C. If for a particular use, the volume has to be reduced to $\frac{1}{3}$ of its original volume, find the temperature to which the gas has to be cooled ? [pressure constant]

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Solution

Let
$V_{1} be the original volume of the oxygen gas = 450 ml T_{1} be the initial temperature of the oxygen gas in K = 273 + 27 = 300 K V_{2} be the final volume of the oxygen gas = \frac{1}{3} \times V_{1} = \frac{1}{3} \times 450 = 150 ml T_{2} be the final temperature of the gas in K = ?$

By Charles law

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}} Substituting the values : \frac{450}{300} = \frac{150}{T_{2}} ∴ T_{2} = \frac{150 x 300}{450} ∴ T_{2} = 100 K = [100 - 273] ° C = - 173 ° C$
Therefore the temperature to which the gas has to be cooled is - 173°C.

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450 ml of oxygen gas is collected at 27°C. If for a particular use, the volume has to be reduced to 13 of its original volume, find the temperature to which the gas has to be cooled ? [pressure constant]

450 ml of oxygen gas is collected at 27°C. If for a particular use, the volume has to be reduced to $\frac{1}{3}$ of its original volume, find the temperature to which the gas has to be cooled ? [pressure constant]