According to the ideal gas law, what happens to the volume of a gas when the number of moles doubles (all else held constant)?
Answer: volume will double when no of moles doubles
Explanation:- Avogadro's Law: This law states that volume is directly proportional to the number of moles of the gas at constant pressure and temperature.
\(V\propto n\) (At constant temperature and pressure)
\(\frac{V_1}{n_1}=\frac{V_2}{n_2}\)
where,
\(V_1\) = initial volume of gas = v
\(V_2\) = final volume of gas = ?
\(n_1\) = initial number of moles = n
\(n_2\) = final number of moles = 2n
Now put all the given values in the above equation, we get the final pressure of gas.
\(\frac{v}{n}=\frac{V_2}{2n}\)
\(V_2=2v\)
Therefore, the volume of the gas will also double.