Question

A flask containing 155 cm3 of hydrogen was collected under a pressure of 22.5 kPa. What pressure would have been required for the volume of the gas to have been 90.0 cm3, assuming the same temperature?

Answer 1

38.7 kpa is the correct answer

Answer 2

The pressure would have been 38.8 kPa required for the volume of the gas to be $90.0cm^3$

Explanation:

To calculate the new pressure, we use the equation given by Boyle's law. This law states that pressure is directly proportional to the volume of the gas at constant temperature.

The equation given by this law is:

$P_1V_1=P_2V_2$

where,

$P_1\text{ and }V_1$ are initial pressure and volume.

$P_2\text{ and }V_2$ are final pressure and volume.

We are given:

$P_1=22.5kPa\\V_1=155cm^3\\P_2=?\\V_2=90.0cm^3$

Putting values in above equation, we get:

$22.5\times 155=P_2\times 90.0\\\\P_2=38.8kPa$

Thus the pressure would have been 38.8 kPa required for the volume of the gas to be $90.0cm^3$

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