Answer:
-271,4°C
Explanation:
Charles's law says that when pressure of a gas held constant, temperature in kelvin and volume will be in a direct proportion. That is:
V/T=k
As density = mass/volume:
density⁻¹/T = k*mass -Where k*mass is a constant-
The temperature in kelvin must be (X+T) where X is the value of °C in the absolute zero scale.
For the three values:
1,877⁻¹/(X-85°C) = 1,294⁻¹/(X) = 0,946⁻¹/(X+100°C)
That is:
(1) 1,877⁻¹/(X-85°C) = 1,294⁻¹/(X)
(2) 1,294⁻¹/(X) = 0,946⁻¹/(X+100°C)
(3) 1,877⁻¹/(X-85°C) = 0,946⁻¹/(X+100°C)
Solving X for (1):
1,877⁻¹X= 1,294⁻¹X - 65,7°C
-0,24X = - 65,7°C
X = 269,5°C
For (2): X = 271,8°C
For (3): X = 273,0°C
The average of these values is:
269,5°C+271,8°C+273,0°C / 3= 271,4
As 271,4 is the value of 0°c, the absolute zero is -271,4
I hope it helps!
