Question

If I have an unknown quantity of gas at a pressure of 0.5 atm, a volume of 25 liters, and a temperature of 300 K, how many moles of gas do I have?

Answer 1

0.508 moles

Step-by-step explanation:

In order to find the number of moles the gas with the above given variables we use the formula

PV = nRT

where

p is the pressure

v is the volume of the gas

n is the number of moles

T is the absolute temperature of the gas

R is molar gas constant

Here since the pressure is in atm and the volume in litres the molar gas constant will be

0.082057 L·atm·K-¹·mol-¹

From the question

p = 0.5 atm

v = 25 L

T = 300 K

Since we're finding the number of moles we make n the subject

`n = (pv)/(RT) \\`

We have

`n = (0.5 * 25)/(0.082057 * 300) = (12.5)/(24.6171) \\ = 0.50777`

We have the final answer as

0.508 moles

Hope this helps you