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# Volume of air in Liters at STP?

A compressed air tank carried by scuba diver has volume 8.0 L and pressure 140 atm at 20 C.

What is volume of air in Liters at STP?

Relevance

The standard units

In all Gas Law calculations, the unit of pressure is atm, volume is liter, and temperature is Kelvin. If the input units are not standard, the conversions are performed.

The Solution:

The mathematical form of the Combined Gas Law is:

P1 x V1 / T1 = P2 x V2 / T2

When any five of the six quantities in the equation are known, the sixth can be calculated.

Unit Conversions:

T1 = 20.C + 273.15 = 293 °K

V2 = P1V1T2/P2T1

= 1.40x102 atm x 8. L x 2.73x102 °K / (1. atm x 293 °K)

= 1.x103 L

• Volume Of Air At Stp

• Combined Gas Law. (T = °C + 273 = K).

P1 x V1 x T2 = P2 x V2 x T1.

140atm. x 8L x 273K = 1atm x V2 x 293K

V2 = (140 x 8 x 273) / 293.

Volume at STP = 305,760 / 293 = 1,044 Litres.

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This is a Boyle's Charles law problem using. PV over T = PV over T Old conditions on left, new conditions on right. l40 atm) 8 liters over 293 degrees Kelvin = l atm times V over 273 degrees K Cross multiply and solve for V on right.