The temperature of 125 L of chlorine gas is set at 35 degrees C. what is the final temperature if the gas volume decreased to 75 L? ( Charles law)

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