Calculate the number moles of 44.8L of SO₂ at N.T.P
Answers
Answer:
The correct answer is 36.132 * 10²³ number of atoms in SO₂
Following steps can be used to convert 44.8 L to number of atoms
Explanation:
Step 1 : Conversion of 44.8 L of SO₂ to mole.
STP is Standard Temperature and pressure condition where 1 mole of gas occupies 22.4 L of volume . Hence , volume can be converted to mole using formula :
Mole = \frac{given volume }{ 22.4 L } * 1 molMole=
22.4L
givenvolume
∗1mol
Plugging value in above formula :
Mole = \frac{44.8 L}{22.4 L} * 1 molMole=
22.4L
44.8L
∗1mol
Mole = 2 mol of SO₂
Step 2: Conversion of mole of SO₂ to number of molecules .
1 mole of gas contains 6.022 * 10²³ number of molecules . Hence , mole can be converted to number of molecules by formula :
Mole = \frac{number of atoms}{6.022 * 10^2^3 } * 1 mol
Plugging values in above formula :
2 mol = \frac{number of atom }{6.022 * 10^2^3} * 1 mol
Multiplying both side by \frac{6.022 * 10^2^3}{1 mol}
2 mol * \frac{6.022 * 10^2^3}{1 mol} = \frac{number of atm}{6.022 *10^2^3} * 1 mol * \frac{6.022 * 10^2^3}{1 mol}
Number of molecules : 12.044 * 10²³ of SO₂
Since in one molecule of SO₂ , there are three atoms , 1 S atom and 2 O atoms , so number of atoms = 3 * 12.044 *10²³ = 36.132 * 10²³
Hope it would be helpful ✌