2019-06-10T19:14:31-04:00
If the density of some hydrogen gass is 0.911 g/L at 214 K and 23.77 kPa, what would its density be at STP/
1
2019-06-11T11:25:16-0400
Solution.
ρ = p × M R × T \rho = \frac{p \times M}{R \times T} ρ = R × T p × M p1 = 23.77 kPa
T1 = 214
p2 = 101.325 kPa
T2 = 273 K
ρ 1 ρ 2 = p 1 × M × R × T 2 p 2 × M × R × T 1 \frac{\rho 1}{\rho 2} = \frac{p1 \times M \times R \times T2}{p2 \times M \times R \times T1} ρ 2 ρ 1 = p 2 × M × R × T 1 p 1 × M × R × T 2
ρ 1 ρ 2 = p 1 × T 2 p 2 × T 1 \frac{\rho 1}{\rho 2} = \frac{p1 \times T2}{p2 \times T1} ρ 2 ρ 1 = p 2 × T 1 p 1 × T 2
ρ 2 = ρ 1 × p 2 × T 1 p 1 × T 2 \rho 2 = \frac{\rho 1 \times p2 \times T1}{p1 \times T2} ρ 2 = p 1 × T 2 ρ 1 × p 2 × T 1
ρ 2 = 0.911 × 101.325 ∗ 1 0 3 × 214 23.77 ∗ 1 0 3 × 273 \rho 2 = \frac{0.911 \times 101.325*10^3 \times 214}{23.77*10^3 \times 273} ρ 2 = 23.77 ∗ 1 0 3 × 273 0.911 × 101.325 ∗ 1 0 3 × 214
ρ 2 = 3.044 \rho 2 = 3.044 ρ 2 = 3.044 Answer:
ρ 2 = 3.044 g / L \rho 2 = 3.044 g/L ρ 2 = 3.044 g / L
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