Charles's law is described by which of the following equations?

• A. V_1 T_1 = V_2 T_2
• B. V_1 / T_1 = V_2 / T_2
• C. P_1 V_1 = P_2 V_2
• D. P V = n R T

Answer: (B)

Verified step by step guidance

1. Recall that Charles's law describes the relationship between the volume and temperature of a gas at constant pressure and amount of gas.
2. Charles's law states that the volume of a gas is directly proportional to its absolute temperature (in Kelvin) when pressure and moles are constant.
3. Mathematically, this relationship is expressed as \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\), where \(V_1\) and \(V_2\) are the initial and final volumes, and \(T_1\) and \(T_2\) are the initial and final absolute temperatures.
4. The equation \(V_1 T_1 = V_2 T_2\) is incorrect because volume and temperature are not multiplied but rather their ratio remains constant.
5. Other equations like \(P_1 V_1 = P_2 V_2\) (Boyle's law) and \(P V = n R T\) (ideal gas law) describe different gas relationships and are not Charles's law.