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Ideal Gas Law

At constant t...

Question

At constant temperature and $760 m m$ of pressure, the volume of a gas is $500 m l$ . The volume of the gas at $1520 m m$ is:

1000 m l

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250 m l

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50 m l

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5000 m l

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Solution

The correct option is A $250 m l$
Since the temperature remains constant, Boyle's law is applicable.

This means that:

$P_{1} V_{1} = P_{2} V_{2}$

Here, $P_{1} = 760 m m$

$V_{1} = 500 m l$

$P_{2} = 1520 m m$

$V_{2} = ? ?$

Putting all the values, we get $V_{2}$ ,

$760 \times 500 = 1520 \times V_{2}$

$V_{2} = 250 m l$

When pressure is doubled, the volume gets halved.

Hence, the correct answer is option $B$ .

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At constant temperature and 760 mm of pressure, the volume of a gas is 500 ml. The volume of the gas at 1520 mm is:

At constant temperature and $760 m m$ of pressure, the volume of a gas is $500 m l$ . The volume of the gas at $1520 m m$ is: