A helium-filled balloon has a volume of 1 m³.As it rises in the earth's atmosphere,its volume expands.What will its new volume be (in m³)if its original temperature and pressure are 20 $\degree$C and 1 atm,and its final temperature and pressure are -40 $\degree$C and 0.1 atm? A)4 B)6 C)8 D)10 E)1.5

Question

Quizplus · Accepted Answer

Use the combined gas law equation:
P1V1/T1 = P2V2/T2
Convert temperatures to Kelvin:
T1 = (20 + 273) K = 293 K
T2 = (40 + 273) K = 313 K
Plug in values and solve for V2:
(1 atm)(1 m^3) / 293 K = (0.1 atm)(V2) / 313 K
V2 = (1 atm)(1 m^3)(313 K) / (0.1 atm)(293 K)
V2 ≈ 8 m^3

A Helium-Filled Balloon Has a Volume of 1 M3 °\degree° C and 1 Atm,and Its Final Temperature and Pressure Are

A Helium-Filled Balloon Has a Volume of 1 M³ $\degree$ C and 1 Atm,and Its Final Temperature and Pressure Are