Answer:
[tex]T_2=12\°C[/tex]
Explanation:
Hello there!
In this case, according to the Charles' law equation which help us to understand the directly proportional relationship between volume and temperature:
[tex]\frac{T_2}{V_2}=\frac{T_1}{V_1}[/tex]
Thus, by solving for the final temperature, T2, and making sure we use the temperatures in Kelvin, we can calculate the final temperature as shown below:
[tex]T_2=\frac{T_1V_2}{V_1} \\\\T_2=\frac{(27+273)K*19L}{20.0L}\\\\T_2=285-273\\\\T_2=12\°C[/tex]
Best regards!
Best regards!
During the day at 27°C a cylinder with a sliding top contains 20.0 liters
of air. At night it only holds 19 liters and at that time temperature will be 12 °C.
Charles's law, a statement that the volume occupied by a fixed amount of gas is directly proportional to its absolute temperature, if the pressure remains constant.
According to Charles's law:
[tex]\frac{T_2}{V_2} = \frac{T_1}{V_1}[/tex]
Thus, by solving for the final temperature, [tex]T_2[/tex], and making sure we use the temperatures in Kelvin, we can calculate the final temperature as shown below:
[tex]T_2}= \frac{T_1 X\;V_2}{V_1}[/tex]
[tex]T_2}= \frac{(27 + 273)\; X\;19 liters}{20.0 liters}[/tex]
[tex]T_2= 12[/tex] °C
12 °C is the temperature at night.
Learn more about Charles' law here:
https://brainly.com/question/22908875
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