Question

which equation below represents charless law?

\\(\frac{v_1}{t_1} = \frac{v_2}{t_2}\\)

\\(\frac{v_1}{t_2} = \frac{v_2}{t_1}\\)

\\(v_1 t_1 = p_2 t_2\\)

\\(p_1 v_1 t_1 = p_2 v_2 t_2\\)

Explanation:

State the definition of Charles's law

$$ V \propto T \quad \text{(at constant pressure and amount of gas)} $$

Express the direct proportionality mathematically

$$ \frac{V}{T} = \text{constant} $$

Formulate the relation for two states

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

Answer:

• (A) \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\) (Correct answer)
• (B) \(\frac{V_1}{T_2} = \frac{V_2}{T_1}\)
• (C) \(V_1 T_1 = P_2 T_2\)
• (D) \(P_1 V_1 T_1 = P_2 V_2 T_2\)