Question

A container has 0.504 moles of a gas at a volume of 2680 mL. When the number of
moles changes to 0.423 moles, what is the new volume?

Answer 1

Answer:

The new volume is 2249.28 mL.

Explanation:

According to Avogadro's Law, the number of moles in a gas is directly proportional to the volume.

Initial no of moles are 0.504 moles at a volume of 2680 mL.

It is required to find the volume if number of moles changes to 0.423 moles.

Using Avogadro's Law,

$\dfrac{n_1}{n_2}=\dfrac{V_1}{V_2}\\\\\dfrac{0.504}{0.423}=\dfrac{2680}{V_2}$

$\dfrac{0.504}{0.423}=\dfrac{2680}{V_2}\\\\V_2=\dfrac{0.423 \times 2680}{0.504}\\\\V_2=2249.28\ mL$

So, the new volume is 2249.28 mL.