Respuesta :
Answer: Equation used to calculate the amount of gas will be [tex]n_1V_1=n_2V_2[/tex]
Final number of moles of gas will be 0.08 moles.
Explanation: We are given a balloon which having 0.040 mole of gas having volume 500mL is expanded to volume 1 L, to calculate the amount of gas, we use Avogadro's relation, which is:
[tex]\frac{n_1}{V_1}=\frac{n_2}{V_2}[/tex]
where,
[tex]n_1=\text{Initial Number of moles}=0.040moles[/tex]
[tex]V_1=\text{Initial Volume}=500mL=0.5L[/tex] (1 L = 1000 mL)
[tex]n_2=\text{Final Number of moles}=?moles[/tex]
[tex]V_2=\text{Final Volume}=1L[/tex]
Putting the values in the above relation, we get the final number of moles after expansion.
[tex]\frac{0.040}{0.5}=\frac{n_2}{1}[/tex]
[tex]n_2=0.08moles[/tex]