Answer to Question #301904 in General Chemistry for Tete

Question

If 4.9g of nitrogen gas is placed in a 2 L container at 31 degrees, what is the pressure in the container?

Answer 1

In Kelvins, 31^oC = 31 + 273 = 304 K. According to the ideal gas law,

$PV=nRT$

$n(N_2)=4.9\ g\times\frac{1\ mol}{28.01\ g}=0.175\ mol$

$R=0.08206\frac{L\cdot{atm}}{mol\cdot{K}}$ (constant)

$P=\frac{nRT}{V}=\frac{0.175\ mol\times0.08206\frac{L\cdot{atm}}{mol\cdot{K}}\times304\ K}{2\ L}=2.18\ atm$

Answer: 2.18 atm