PROBLEM 48P

A cylinder with a moveable piston contains 0.87 mol of gas and has a volume of 334 mL. What will its volume be if an additional 0.22 mol of gas is added to the cylinder?

Solution 48P

Here, we are going to calculate the volume of the resultant concentration of gas.

Step 1:

Avogadro's law states that equal volumes(V) of all gases under the same conditions of temperature and pressure contain equal number of molecules.

Mathematically, we can write

V n, where n is the number of moles of the gas.

V = kn, k being a constant.

Now, if V1, n1 are the volume and number of moles of the gas initially and V2, n2 are the volume and number of moles of the gas finally, then,

V1 = kn1

V2 = kn2

Combining the two equations, we get, V1 / n1 = V2 / n2 -----(1)