Answer to Question #181211 in General Chemistry for andrew

Question #181211

Calculate the number of moles of O2 gas held in a sealed 2.00 L tank at 3.50 atm and 25.0 ℃. How many moles would be in the tank if the temperature was raised to 49.0 ℃, but pressure and volume stayed the same?



1
Expert's answer
2021-04-14T06:10:48-0400

We will apply the Ideal gas Equation;

PV = nRT

In part I of the question we have;

P=3.50 atm

V=2.00 L

T = (25oC + 273) = 298 K

R= 0.0821 L*atm*mol-1*K-1 (because pressure is in atm)

We are interested in finding the value of n


If we rearrange the equation we get;


"n=\\dfrac{PV}{RT}"


"n=\\dfrac{3.50 atm x 2.00L}{0.0821 L*atm*mol^-1*K^-1 x 298K}"


= 0.286 mol



In part II we have


P= 3.50 atm

V= 2.00 L

R=(40.0oC + 273) = 313 K


Thus solving for n we have;


"n=\\dfrac{3.50 atm x 2.00L}{0.0821L*atm*mol^-1*K^-1 x 313 K}"


n = 0.272 mol



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