Question

Question 8If I have an unknown quantity of gas at a pressure of 3.85 atm, a volume of 32.4 liters, and a temperature of80.4°C, how many moles of gas do I have?Submit Question

Answer 1

For this problem we will use the ideal gas law:

`\begin{gathered} PV=nRT \\ P:pressure(atm) \\ V:volume(L) \\ n:number\text{ }of\text{ }moles\text{ }of\text{ }gas \\ R:ideal\text{ }gas\text{ }constant(0.082Latmmol^(-1)K^(-1)) \\ T:absolute\text{ }temperarture(K)=273.15K+80.4\degree C=353.55K \end{gathered}`

We will substitute the known values into this equation to determine the number of moles:

`\begin{gathered} n=(PV)/(RT) \\ \\ n=(3.85atm*32.4L)/(0.082Latmmol^(-1)K^(-1)*353.55K) \\ \\ n=4.30mol \end{gathered}`

Answer: 4.3 mol of gas.