Question #177598

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?


1
Expert's answer
2021-04-02T05:13:10-0400

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 \;atm

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 M

M(O2) = 32 g/mol

m=0.91×32=29.14  gm = 0.91 \times 32 = 29.14 \;g

Answer: 29.14 g


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