The temperature (in °C) of the air inside the balloon when the balloon's of volume 1700 L is 246.185°C.
What is thermodynamics?
It is a branch of science that deals with heat and work transfer.
If a hot air balloon has an initial volume of 1000 L at 50°C.
V₁ = 1000 L
T₁ = 50°C = 323.15 K
The temperature of the air inside the balloon if the volume expands to 1700 L will be
V₂ = 1700 L
The process is a constant pressure, then we have
V ∝ T
Then
[tex]\dfrac{T_2}{T_1} = \dfrac{V_2}{V_1}\\\\\\T_2 = 323.15 \times \dfrac{1700}{1000}\\\\\\T_2 = 549.355 \ K[/tex]
Then the temperature in °Celcius will be
T₂ = 549.355 - 273.15
T₂ = 246.185°
More about the thermodynamics link is given below.
https://brainly.com/question/7206767
