Question

The volume of a gas is doubled while the temperature is unchanged. The pressure of
the gas

Answer 1

Is halved.

Step-by-step explanation:

Hello,

In this case, by means of the Boyle's law, which allows us to understand the volume-pressure behavior as an inversely proportional relationship:

`P_1V_1=P_2V_2`

Hence, it is given that the volume of the gas is doubled, thus:

`V_2=2V_1`

In such a way, the pressure of the gas will result:

`P_2=(P_1V_1)/(V_2)=(P_1V_1)/(2V_1)\\ \\P_2=(P_1)/(2)`

Therefore, as the volume doubles, the pressure halves.

Best regards.

Answer 2

The pressure will be halved with respect its initial value

Step-by-step explanation:

Based on Boyle's law, the pressure exerted by a quantity of an ideal gas is inversely proportional to the volume it occupies if the temperature and remains constant

Thus, if volume of a gas is doubled while the temperature is unchanged, the pressure will be halved with respect its initial value