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The volume of a gas is 400 mL when the pressure is 1 atm. At the same temperature, what is the pressure at which the volume of the gas is 2 L

Sagot :

mamyamirah

Answer:

the pressure is equal to 0.2atm

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The pressure at which the volume of the gas is 2 L at the same temperature as when the volume of a gas is 400 mL and pressure 1 atm is 0.2 atm.

What is the combined Gas Law?

According to combined gas law,

[tex]\rm \dfrac{PV}{nT} = R[/tex]

In the Combined Gas Law,if we change either one of the variables the others will also change.

When the moles of the gas is constant , the above equation can be written as ,

[tex]\rm \dfrac{P'V'}{T'} = \dfrac{PV}{T}[/tex]

Given is P = 1 atm , V= 400ml , V'= 2L= 2000ml , P'= ? T=T'

So we will substitute the values in the above formula keeping temperature constant.

[tex]\rm P'V' = PV\\\\\rm P' \times 2000 = 1 \times 400\\ \\\m P'= \dfrac{1\times 400}{2000} = 0.2 \; atm\\\\\rm P' = 0.2 \; atm\\[/tex]

Therefore the pressure at which the volume of the gas is 2 L at the same temperature as when the volume of a gas is 400 mL and pressure is 1 atm is 0.2 atm.

To know more about Combined Gas Law:

brainly.com/question/13154969

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