Chemistry Hw Ideal gas law

Question

calculate the density of N2 gas at a pressure of 1.25atm and a temperature of 43C

Answer 1

Density = mass / volume

We can assume 1 liter as our volume and then use the ideal gas law

PV = nRT

P = pressure = 1.25 atm

V = volume = 1 L

n = moles = ?

R = gas constant = 0.0821 Latm/Kmol

T = temp in K = 43C + 273 = 316K

Solving for n, we have...

n = PV/RT = (1.25)(1) / (0.0821)(316)

n = 0.0482 moles N₂

mass N₂ = 0.0482 moles x 28 g/mol = 1.35 g

Density = mass/volume = 1.35 g/ L