# 400 ml of oxygen are collected over water at 25oC and 0.948 bar pressure. What is the volume of dry gas at STP (Aq. tension at 25o C = 0.0318 bar)?

ndnordic | High School Teacher | (Level 2) Associate Educator

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This problem can be solved using the combined gas law:

P1V1/T1 = P2V2/T2

where P1, V1, and T1 are the pressure, volume and temperature at state one, and P2,V2, T2 are the corresponding values at state 2.

To find the pressure of the dry gas you have to subtract the partial pressure of the water vapor which is given as 0.0318 bar.

So the initial conditions are:

P1 = 0.948 - 0.0318 = 0.9162 bar

V1 = 400 mL

T1 = 25 degrees C = 298.15 K

P2 = 0.986 barr

T2 = 273.15 K

V2 = unknown

substituting the values gives you

0.9162*400/298.15 = 0.986*V2/273.15

then V2 = 365.2 mL

Sources:

hkj1385 | (Level 1) Assistant Educator

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STP stands for Standard Temperature & Pressure

The standard temperature is 273.15 Kelvin while the standard pressure is 1 bar = 1.01325 atm

Now, As per the Ideal Gas Equation; P*V = n*R*T;

where P = pressure of the gas in atm, V = volume of the gas in litres , n = moles of the gas ; R = Universal Gas Constant ; T = Temperature of the gas in Kelvin

0 degrees Celsius = 273.15 Kelvin

Now, moles of the gas remains the same and so does the value of 'R' at STP and at  25oC and 0.948 bar

Thus, At both the conditions, (P*V)/T = constant

Thus, (P1*V1)/T1 = (P2*V2)/T2

Now, pressure of the gas at 25 degrees Celsius = Toatl pressure - Aqueous Tension = 0.948 - 0.0318 = 0.9162

or, (0.9162*1.01325*0.4)/298.15 = (1.01325*V2)/273.15

or, V2 = Volume of the gas at STP = 0.336 Litres = 336 ml.