Which of the following formulas correctly represents Charles's Law?

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

Answer: (A)

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 can be 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 temperatures in Kelvin.
4. The other formulas given represent different gas laws: \(\frac{P_1}{T_1} = \frac{P_2}{T_2}\) relates pressure and temperature at constant volume (Gay-Lussac's Law), \(P_1 V_1 = P_2 V_2\) relates pressure and volume at constant temperature (Boyle's Law), and \(P V = n R T\) is the ideal gas law combining all variables.
5. Therefore, the correct formula for Charles's Law is \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\).