According to the combined gas law, the pressure exerted by a gas is:

a) directly proportional to volume and kelvin temperature

b) inversely proportional to volume and kelvin temperature

c) directly proportional to volume and inversely proportional to the kelvin temperature

d) inversely proportional to volume and directly proportional to the kelvin temperature

e) none of the above

Question

30-08-2019
Chemistry

contestada

According to the combined gas law, the pressure exerted by a gas is:

a) directly proportional to volume and kelvin temperature

b) inversely proportional to volume and kelvin temperature

c) directly proportional to volume and inversely proportional to the kelvin temperature

d) inversely proportional to volume and directly proportional to the kelvin temperature

e) none of the above

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Alleei Alleei · Answer 1 · 2019-09-04T07:25:57+02:00

Answer : The correct option is, (d) inversely proportional to volume and directly proportional to the kelvin temperature

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

[tex]P\propto \frac{1}{V}[/tex]

Charles' Law : It is defined as the volume of the gas is directly proportional to the temperature of the gas at constant pressure and number of moles.

[tex]V\propto T[/tex]

Gay-Lussac's Law : It is defined as the pressure of the gas is directly proportional to the temperature of the gas at constant volume and number of moles.

[tex]P\propto T[/tex]

Combined gas law : It is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

[tex]\frac{PV}{T}=K[/tex]

or,

[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]

From the above information we conclude that the pressure exerted by a gas is inversely proportional to volume and directly proportional to the kelvin temperature.

Hence, the correct option is, (d)