Question

a helium balloon at 28 C has a volume of 1.8 L and a pressure of 102 kPa. what is the volume of the balloon when is rises into the atmosphere where the pressure is 85 kPa and the temperature is 4 C?

Answer 1

V₂ =1.99 L

Step-by-step explanation:

Given data:

Initial volume = 1.8 L

Initial temperature = 28°C (28+273.15 K= 301.15 k)

Initial pressure = 102 KPa

Final volume = ?

Final pressure = 85 KPa

Final temperature = 4°C (4+ 273.15 K = 277.15 K)

Solution:

Formula:

P₁V₁/T₁ = P₂V₂/T₂

P₁ = Initial pressure

V₁ = Initial volume

T₁ = Initial temperature

P₂ = Final pressure

V₂ = Final volume

T₂ = Final temperature

V₂ = 102 KPa × 1.8 L × 277.15 K / 301.15 K × 85 KPa

V₂ = 50884.74 KPa .L. K / 25597.75 K.KPa

V₂ =1.99 L