A sample of oxygen gas at 20.0°C has a volume of 26.0L and exerts a pressure of 640.0mmHg. What is the mass of this gas?
T=20+273=293 KV=26.0 Lp=640.0 mmHg=0.8421 atmT = 20 + 273 = 293 \;K \\ V = 26.0 \;L \\ p = 640.0 \; mmHg = 0.8421 \;atmT=20+273=293KV=26.0Lp=640.0mmHg=0.8421atm
Ideal gas law
pV = nRT
R= 0.08206 L×atm/mol×K
n=pVRT=0.8421×26.00.08206×293=0.91 molm=n×Mn = \frac{pV}{RT} \\ = \frac{0.8421 \times 26.0}{0.08206 \times 293} \\ = 0.91 \;mol \\ m = n \times Mn=RTpV=0.08206×2930.8421×26.0=0.91molm=n×M
M(O2) = 32 g/mol
m=0.91×32=29.14 gm = 0.91 \times 32 = 29.14 \;gm=0.91×32=29.14g
Answer: 29.14 g
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