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Combine Boyle’s law, Charles’s law, and Gay-Lussac’s law into a single proportional relationship between pressure (P), volume (V), and temperature (T). Use the symbol “∝” to represent “is proportional to.”

Explain your reasoning.

Respuesta :

Answer:

PV ∝ T

Explanation:

Charles’ law states that, at constant pressure, volume is proportional to

temperature. Gay-Lussac’s law states that, at constant volume, pressure is proportional to

temperature. Therefore, the product of pressure and volume is proportional to temperature.

This is also consistent with Boyle’s law, which states that pressure is inversely proportional

to volume when temperature is constant

Dis was easy as hell

On combing Boyle’s law, Charles’s law, and Gay-Lussac’s law into a single proportional relationship law:

[tex]PV\propto T[/tex]

Explanation:

  • Boyle's law states that the pressure of the ideal gas is inversely proportional to the volume occupied by the ideal gas at a constant temperature in Kelvins.

             [tex]P\propto \frac{1}{V}[/tex] ( Constant temperature)

  • Charle's law states that volume occupied by the ideal gas is directly proportional to the temperature of the ideal gas in Kelvins, under constant pressure.

             [tex]V\propto T[/tex]  (Constant pressure)

  • Gay-Lussac’s law states that the pressure of the ideal gas is directly proportional to the temperature of the ideal gas in Kelvins, under a constant volume.

            [tex]P\propto T[/tex]   (Constant volume)

On combing Boyle’s law, Charles’s law, and Gay-Lussac’s law into a single proportional relationship law we get:

[tex]PV\propto T[/tex]

In the above relation all the three laws; Boyles law, Charles law, and Gay Lussac's laws are followed.

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