Question

which is a correct way of stating charless law?
select the correct answer below:
$v = kt$
$\frac{v}{t}=k$
$\frac{v_{1}}{t_{1}}=\frac{v_{2}}{t_{2}}$
all of the above

Explanation:

Step1: Understand Charles's law

Charles's law states that for a given mass of gas at constant pressure, the volume \(V\) is directly proportional to the absolute temperature \(T\).

Step2: Analyze \(V = kT\)

If \(V\) is directly proportional to \(T\), we can write \(V= kT\) where \(k\) is the constant of proportionality.

Step3: Analyze \(\frac{V}{T}=k\)

From \(V = kT\), we can divide both sides by \(T\) (assuming \(T
eq0\)) to get \(\frac{V}{T}=k\).

Step4: Analyze \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)

If we have two states of the gas (state 1 with \(V_1\) and \(T_1\), state 2 with \(V_2\) and \(T_2\)), since \(\frac{V}{T}=k\) (constant), then \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\) (because \(k\) is the same for both states of the gas at constant pressure).

Since all the given equations (\(V = kT\), \(\frac{V}{T}=k\), \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)) are valid representations of Charles's law, the answer is all of the above.

Answer:

all of the above