A balloon filled with helium gas at 20°C occupies 2.91 L at 1.00 atm.The balloon is immersed in liquid nitrogen at -196°C,raising the pressure to 5.20 atm.What is the volume of the balloon in the liquid nitrogen?
A)0)15 L
B)2)1 L
C)4)0 L
D)58 L

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve for the volume of the balloon in liquid nitrogen:

(P₁V₁/T₁) = (P₂V₂/T₂)

Where:
P₁ = 1.00 atm
V₁ = 2.91 L
T₁ = 20°C + 273.15 = 293.15 K
P₂ = 5.20 atm
V₂ = Unknown (what we are solving for)
T₂ = -196°C + 273.15 = 77.15 K

Solving for V₂:

V₂ = (P₁V₁T₂)/(P₂T₁)
V₂ = (1.00 atm)(2.91 L)(77.15 K)/((5.20 atm)(293.15 K))
V₂ = 0.15 L

Therefore, the volume of the balloon in liquid nitrogen is 0.15 L. The best choice is A).

A Balloon Filled with Helium Gas at 20°C Occupies 2