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Which set of conditions would cause the volume of a gas to decrease?
A. Pressure increases while temperature stays the same.
B. Temperature increases while pressure stays the same.
C. Temperature increases while pressure decreases.
D. Pressure decreases while temperature stays the same.

Respuesta :

Answer:

Volume of a gas decrease as pressure increase while temperature stays the same.

Explanation:

  • According to Boyle's law, the product of volume and pressure of an ideal is constant at constant temperature.

Mathematically we can represent as,

                          PV= constant (temperature being constant)

                    i.e. [tex]P_{1}[/tex][tex]V_{1}[/tex] = [tex]P_{2}[/tex][tex]V_{2}[/tex] = [tex]P_{3}[/tex][tex]V_{3}[/tex] = constant.

  • This clearly suggests that Volume has inversely proportional relation with pressure kept maintained constant temperature.

                               [tex]V[/tex]∝ [tex]\frac{1}{P}[/tex]                   (at constant temperature)

  • Hence volume decreases as pressure increases under the condition that temperature is constant.

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