Question

How many moles are in a system that is 223 K, with an internal pressure

of 10 atm, in a fixed container that is 27 L
O 14.75 mol
O 1.21 mol
O 825 mol
5.42 mol
* 2 points

Answer 1

A.) 14.75 mol

Step-by-step explanation:

To find the amount of moles, you need to use the Ideal Gas Law equation:

PV = nRT

In this equation,

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

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

-----> n = number of moles

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

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

You can plug the given values and the constant into the equation and simplify to find "n".

P = 10 atm R = 0.08206 L*atm/K*mol

V = 27 L T = 223 K

n = ? moles

PV = nRT <----- Ideal Gas Law

(10 atm)(27 L) = n(0.08206 L*atm/K*mol)(223 K) <----- Insert variables

270 atm*L = n(18.299 L*atm/mol) <----- Mutliply

14.75 mol = n <----- Divide both sides by 18.299