Question

A hot air balloon is filled to 1250 m3 at 27 C. At what temperature will the balloon be filled to 1600 m3 if the pressure remains constant?

Please help!!

Answer 1

Answer:

384.2 K

Explanation:

First we convert 27 °C to K:

• 27 °C + 273.16 = 300.16 K

With the absolute temperature we can use Charles' law to solve this problem. This law states that at constant pressure:

• T₁V₂=T₂V₁

Where in this case:

• T₁ = 300.16 K

• V₂ = 1600 m³

• T₂ = ?

• V₁ = 1250 m³

We input the data:

300.16 K * 1600 m³ = T₂ * 1250 m³

And solve for T₂:

T₂ = 384.2 K