Question

22 400 mL of oxygen gas contains 6.022 1023 oxygen molecules at 0°C and standard atmospheric pressure. a. How many oxygen molecules are in 0.100 mL of gas? b. How many oxygen molecules are in 1.00 L of gas? c. What is the average space in milliters occupied by one oxygen molecule?

Answer 1

Answer :

(a) The number of oxygen molecules present in 0.100 mL of gas is, $2.688\times 10^{18}$

(b) The number of oxygen molecules present in 1.0 L of gas is, $2.688\times 10^{22}$

(c) The volume of oxygen gas is, $3.719\times 10^{-20}mL$

Explanation :

(a) To calculate the number of oxygen molecules present in 0.100 mL of gas.

As, 22400 mL of oxygen gas contains $6.022\times 10^{23}$ number of oxygen molecules

So, 0.100 mL of oxygen gas contains $\frac{0.100}{22400}\times 6.022\times 10^{23}=2.688\times 10^{18}$ number of oxygen molecules

(b) To calculate the number of oxygen molecules present in 1.00 L or 1000 mL of gas.

As, 22400 mL of oxygen gas contains $6.022\times 10^{23}$ number of oxygen molecules

So, 1000 mL of oxygen gas contains $\frac{1000}{22400}\times 6.022\times 10^{23}=2.688\times 10^{22}$ number of oxygen molecules

(c) To calculate the volume of oxygen gas for one molecule of oxygen.

As, $6.022\times 10^{23}$ number of oxygen molecules present in 22400 mL of oxygen gas

So, 1 oxygen molecules present in $\frac{1}{6.022\times 10^{23}}\times 22400mL=3.719\times 10^{-20}mL$ of oxygen gas