Question

Question #fa899

Answer 1

Using the ideal gas law, we find that the volume is 18.8 Liters.

Explanation:

To answer this problem, we must utilize the ideal gas law:

`PV=nRT`

Where P is pressure in atm, V is volume in liters, T is temperature in kelvin, n is moles of gas, and R is a universal constant derived by scientists to make the equation work, equal to about
.08206 `(atm*L)/(mol*K)`. We are given the following values:

P = 2.88 atm
n = 2.09 moles of `O_2`
T = `42^oC`

Before we plug in our values, we must find our temperature in Kelvin, which is just done by adding 273.15:

`T_(kelvi n) = 42 + 273.15 = 315.15 K`

Now, we can plug into the equation `PV = nRT`

`(2.88)V = (2.09)(.08206)(315.15)`

Solving for V, you get `V = 18.8 L`, which is your answer.