# Calculate the number of grams of xenon in 3.566 g of the compound xenon tetrafluoride.

## Question:

Calculate the number of grams of xenon in {eq}3.566\ g {/eq} of the compound xenon tetrafluoride.

## Molar Mass:

The molar mass of a substance is analytically acquired by summing the total masses of each element contained in the compound. We can use this quantity in order to acquire the total mass of a substance given its number of moles.

Determine the mass of {eq}\displaystyle Xe {/eq} in the given mass of the compound by first finding the number of moles of compound there is and then multiplying it to the number of moles of {eq}\displaystyle Xe {/eq} per mole of compound, and then multiplying it to the molar mass of {eq}\displaystyle Xe {/eq}. We find the number of moles of the compound by multiplying the given mass by the inverse of the molar mass, {eq}\displaystyle n = 3.566\ g\times \frac{1}{207.2836 }\rm{mol/g} \approx 0.01720\ mol {/eq}. The molar mass of {eq}\displaystyle Xe {/eq} is known as {eq}\displaystyle 131.293\ g/mol {/eq}. We proceed with the solution.

{eq}\begin{align} \displaystyle m_{Xe} &= n\times \frac{1\ mol\ Xe}{1\ mol\ XeF_4}\times 131.293\ g/mol\\ &= 0.01720\ mol\ XeF_4\times \frac{1\ mol\ Xe}{1\ mol\ XeF_4}\times 131.293\ g/mol\\ &=2.258\ \rm{g\ Xe} \end{align} {/eq}