chem question below

Question

A hot-air balloon has a volume of 990 LL at 22 ∘C∘C. To what temperature must it be heated to raise its volume to 1300 LL , assuming the pressure remains constant?

Express your answer using two significant figures.

Answer 1

When pressure is constant, we can use Charles' Law:

but you must make sure you use absolute temperature (K). 22°C = 22 + 273.15 = 295.15 K

So 990/295.15 = 1300/T₂

990T₂ = (295.15)(1300)

T₂ = (295.15)(1300)/990 = 387.57 K

To convert back to °C, 387.57 - 273.15 = 114.42 °C

Rounding to 2 sig figs gives us T₂ = 110 °C