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A sample of carbon dioxide occupies a 6.22 dm3 container at STP. What is thevolume of the gas at a pressure of 305,2 kPa and a temperature of 27.5 c?O a. 2.08O b. 2.27O c. 56.8O d. 17.0

A sample of carbon dioxide occupies a 6.22 dm3 container at STP. What is thevolume-example-1
User SoSimple
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1 Answer

1 vote

Answer

2.27 L

Procedure

The volume occupied by one mole of any gas at standard temperature(0°C) and pressure(1 atm) is 22.4 liters.


6.22\text{ dm}^3\frac{1\text{ L}}{1\text{ dm}^3}\frac{1\text{ mol}}{22.4\text{ L}}=0.2777\text{ mol}

Then we will use the ideal gas formula to get the volume.

PV=nRT

Where R= 0.08206 L⋅atm⋅°K⁻¹⋅mol⁻¹

P= pressure

V=volume

n= moles

T= temperature in °K

Solving for V


V=(nRT)/(P)=\frac{0.2777\text{ mol }(0.08206)\text{ L.atm.}\degree\text{K}^(-1)\text{.mol}^(-1)(300.65)\text{ }\degree\text{K}}{3.0120898\text{ atm}}=2.274\text{ L}

User Allyson
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