10.44 Many gases are shipped in high-pressure containers. Consider a steel tank

Question

10.44

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 55.0 gallons and which contains O2 gas at a pressure of 16,500 kPa at 25?C.

Question:At what temperature would the pressure in the tank equal 160.0atm ?

10.7

A sample of 5.50mL of diethylether (C2H5OC2H5;density=0.7134g/mL) is introduced into a 6.20 ?L vessel that already contains a mixture of N2 and O2, whose partial pressures arePN2= 0.751atm andPO2= 0.208atm . The temperature is held at 35.0 ?C, and the diethylether totally evaporates.

Question: Calculate the partial pressure of the diethylether.

Calculate the total pressure in the container.

Explanation / Answer

7 a)

Initial Pressure = 162.8 atm (P1)

Temperature = 298 K (T1)

Final Pressure = 160.0 atm (P2)

T2 = T1 x P2 / P1=> (298 x 160) / 162.8=> 292.8 K

7b)

Mass of ether = 5.5 x 0.7134 => 3.924 g

Number of moles of ether = 3.924 / 74.12 => 0.053 mol

T = 308 K

R = 0.0821 L atm K-1 mol-1

V =6.2 L

We know that,

PV =nRT

Pressure of ether = 0.216 atm

Total pressure = 0.751 + 0.208+ 0.216 => 1.175 atm

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