Question

(mol conversion)How many moles of argon atoms are present in 11.2 L of argon gas at STP? Round your molar mass to whole numbers andgive your answer in the correct number of sig figs and units

Answer 1

The number of moles of argon is 0.500 mole

Step-by-step explanation

Given data

The volume of argon at STP = 11.2L

Let x represents the number of moles of argon

Recall that, at STP, 1 mole is equivalent to 22.4L

Hence, we can calculate the number of moles of argon by using the conversion at STP

`\begin{gathered} 1\text{ mole of argon }\rightarrow\text{ 22.4L} \\ x\text{ moles of argon }\rightarrow\text{ 11.2L} \\ \text{cross multiply} \\ 1\cdot\text{ 11.2 = x }\cdot\text{ 22.4} \\ 11.2\text{ = 22.4x} \\ \text{Divide both sides 22.4} \\ (11.2)/(22.4)\text{ = }(22.4x)/(22.4) \\ x\text{ = 0.5 mole} \\ To\text{ the correct significant figures, the number of moles of argon is 0.500 moles} \end{gathered}`

Therefore, the number of moles of argon to the correct significant figures is 0.500 mole