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As the pressure of an enclosed gas decreases to half its original value, what happens to the volume of the gas if the temperature is held constant?

Respuesta :

chloedbonham

Answer:

At this point the volume of the gas is halved. If the pressure on the piston is again doubled, the volume of gas decreases to one-fourth its original volume. FIGURE 9.8 Boyle's Law: At constant temperature, the volume of a gas sample is inversely proportional to the pressure.

raphealnwobi

The volume of the gas doubles.

Boyles law state that the pressure of a gas is indirectly proportional to the volume at constant temperature. It is given by:

PV = constant

Let us assume that initially the pressure is P and the volume is V, hence:

[tex]P_1=P,V_1=V[/tex]

The volume decreases to half its original value, hence:

[tex]P_2=\frac{P}{2}[/tex]

Therefore:

[tex]P_1V_1=P_2V_2\\\\\\PV=\frac{P}{2}V_2\\\\V_2=2V[/tex]

Therefore the volume of the gas doubles.

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