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Question 8

If I have an unknown quantity of gas at a pressure of 3.85 atm, a volume of 32.4 liters, and a temperature of
80.4°C, how many moles of gas do I have?

1 Answer

6 votes

Answer:

4.30 moles

Step-by-step explanation:

You need to use the Ideal Gas Law. The equation looks like this:

PV = nRT

In this equation,

-----> P = pressure (atm)

-----> V = volume (L)

-----> n = moles

-----> R = Ideal Gas Constant (0.08206 atm*L/mol*K)

-----> T = temperature (K)

Before you can plug the given values into the equation and simplify to find "n", you need to convert Celsius to Kelvin. The final answer should have 3 sig figs to match the sig figs of the given values.

P = 3.85 atm R = 0.08206 atm*L/mol*K

V = 32.4 L T = 80.4 °C + 273.15 = 353.55 K

n = ? moles

PV = nRT

(3.85 atm)(32.4 L) = n(0.08206 atm*L/mol*K)(353.55 K)

124.74 = n(29.012313)

4.30 = n

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