Respuesta :
Answer:
-88 °C
Explanation:
Charles' law is derived from the ideal gas law. The ideal gas law says:
PV = nRT
If n and P are constant, then we get Charles' law:
V₁ / T₁ = V₂ / T₂
Plugging in values and solving:
(125 L) / (35 + 273 K) = (75 L) / T
T = 185 K
T = -88 °C
The final temperature if the gas volume decreased to 75 L is -88ºC.
Charles' law
Charles' law is based on comparing the pressure, temperature and volume of a gas before and after some transformation, so that:
[tex]\frac{P_iV_i}{T_i} =\frac{P_fV_f}{T_f}[/tex]
Since the pressure is constant, we can apply the values given in the question as follows:
[tex]\frac{125L}{35+273K} =\frac{75L}{T_f}[/tex]
[tex]T_f= 185K[/tex]
Transforming the value of the temperature found to degrees celsius we have:
[tex]T_f = 185-273 = -88[/tex]
So, the final temperature if the gas volume decreased to 75 L is -88ºC.
Learn more about Charles' Law in: brainly.com/question/3491421