Respuesta :
Answer: Number of balloons that can be filled with He are 1397.
Explanation:
The given data is as follows.
V = 25 L He , P = 131 atm
T = [tex]19^{o}C[/tex] = (19 + 273) K
= 292 K
According to ideal gas equation,
PV = nRT
where, n = [tex]\frac{PV}{RT}[/tex]
= [tex]\frac{131 \times 25}{0.082 \times 292}[/tex]
= 136.76 mol of He
The data for small balloons is given as follows.
T = [tex]27^{o}C[/tex] = (27 + 273) K
= 300 K
P = 732 = 0.963 atm
V = 2.50 L
Now, we will calculate the number of moles as follows.
n = [tex]\frac{PV}{RT}[/tex]
= [tex]\frac{0.963 \times 2.50}{0.082 \times 300}[/tex]
= 0.098 mol
So, number of balloons that can be filled with He are calculated as follows.
n = [tex]\frac{N_{1}}{N_{2}}[/tex]
= [tex]\frac{136.76}{0.098}[/tex]
= 1397.60 balloons
or, = 1397 balloons (approx)
Thus, we can conclude that number of balloons that can be filled with He are 1397.
