Question

Not a timed or graded assignment. Quick answer = amazing review :) Prompt : “which of the following allows us to make mathematical predictions using Charles’ law”

Answer 1

Answer:

$\frac{V_1}{T_1}\text{ = }\frac{V_2}{T_2}$

Explanation:

Here, we want to select the option that represent the mathematical equation of the Charles' law

According to the law, the volume of a given mass of gas at a constant temperature is directly proportional to the absolute temperature (temperature in Kelvin) of the given mass of gas

Mathematically:

$\begin{gathered} V\text{ }\propto\text{ T} \\ Which\text{ means :} \\ V\text{ = KT} \\ or\text{ } \\ \frac{V}{T\text{ }}\text{ = K} \end{gathered}$

Writing the above in terms of the final and initial state, we have it that:

$\frac{V_1}{T_1}\text{ = }\frac{V_2}{T_2}$

Where:

V1 is initial volume

T1 is the initial temperature

V2 is the final volume

T2 is the final temperature