Question

What volume is occupied by 5.80×10^20 molecules of an ideal gas at STP?

Answer 1

Answer:

• 0.0219 liter

Explanation:

The current temperature and pressure at STP (Standard Temperature and Pressure) stated by IUPAC are:

• Temperature: 273.15 K (0 °C)

• Pressure: 10⁵ Pa ≈ 0.9869 atm

Using the ideal gas equation, pV = nRT,  and the Avogadro constant, you can find the volume occupied by 5.80 × 10²⁰ molecules.

           $pV=nRT\\\\ \\ V=\dfrac{nRT}{p}$

$V=\dfrac{5.80\cdot 10^{20}molec\times \dfrac{1mol}{6.022\cdot 10^{23}molec}\times 0.08206\dfrac{atm.liter}{mol.K}\times 273.15K}{0.9869atm}$

          $V=2.19e^{-2}liter=0.0219liter$