Answer:
2.34 L
Explanation:
Step 1:
Data obtained from the question. This includes:
Initial volume (V1) = 1.90L
Initial mole (n1) = 0.090 mol
Final mole (n1) = 0.090 + 0.0210 = 0.111 mole
Final volume (V2)
Step 2:
Determination of the final volume.
From the ideal gas equation:
PV = nRT
Divide both side by n
PV /n = RT
Divide both side by P
V/n = RT/P
Since the pressure and temperature are constant, then
V/n = constant.
V1/n1 = V2/n2
V1 is the initial volume
V2 is the final volume
n1 is the initial mole
n2 is the final mole.
V1/n1 = V2/n2
1.9 / 0.09 = V2 / 0.111
Cross multiply to express in linear form
V2 x 0.09 = 1.9 x 0.111
Divide both side by 0.09
V2 = (1.9 x 0.111) / 0.09
V2 = 2.34 L
Therefore, the new volume of the balloon is 2.34 L
