Multiple Choice
Which variables are related by the combined gas law?
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7. Gases
Chemistry Gas Laws: Combined Gas Law
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Which of the following equations represents the combined gas law?
A
P_1 V_1 / T_1 = P_2 V_2 / T_2
B
P_1 V_1 = P_2 V_2
C
P V = n R T
D
V_1 / T_1 = V_2 / T_2
Verified step by step guidance1
Understand that the combined gas law relates pressure (P), volume (V), and temperature (T) of a fixed amount of gas, combining Boyle's, Charles's, and Gay-Lussac's laws.
Recall Boyle's law: \(P_1 V_1 = P_2 V_2\) (pressure and volume relationship at constant temperature).
Recall Charles's law: \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\) (volume and temperature relationship at constant pressure).
Recall the ideal gas law: \(P V = n R T\), which includes the amount of gas (n) and the gas constant (R), not part of the combined gas law.
Combine the relationships of pressure, volume, and temperature into one equation: \(\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}\), which is the combined gas law.
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