what is the volume (in l) of a scuba tank if it takes 2000l of air collected at 1.00 atm to fill the tank to a pressure of 150 atm? assume n and t are constant

Respuesta :

The volume of the air collected at the pressure of 150 atm is 13.33 litres.

The ideal gas equation says,

The pressure P, the volume V, the number of moles n, the gas constant R and the temperature t of the gas are related with each other as,

PV = nRT

If the number of moles and the temperature are constant,

PV = Constant

So, we can write,

P₁V₁ = P₂V₂

P₁ is the pressure of the scuba tank is 1 atm and the volume V₁ of the scuba tank is 2000L while P₂ is pressure of the other tank is 150 atm. Hence we can write,

2000 x 1 = V₂ x 150

V₂ = 13.33 Liters.

So, the volume of the air is 13.33 litres

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