Multiple Choice
When applying the combined gas law, which variable is assumed to remain constant?
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7. Gases
Chemistry Gas Laws: Combined Gas Law
Multiple Choice
A gas occupies 40.0 L at 150 K. Assuming pressure and amount of gas remain constant, what volume will the gas occupy at 300 K?
A
60.0 L
B
80.0 L
C
20.0 L
D
40.0 L
Verified step by step guidance1
Identify the gas law that relates volume and temperature at constant pressure and amount of gas. This is Charles's Law, which states that volume is directly proportional to temperature (in Kelvin) when pressure and moles are constant.
Write down Charles's Law formula: \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\), where \(V_1\) and \(T_1\) are the initial volume and temperature, and \(V_2\) and \(T_2\) are the final volume and temperature.
Substitute the known values into the equation: \(V_1 = 40.0\,L\), \(T_1 = 150\,K\), and \(T_2 = 300\,K\). The unknown is \(V_2\).
Rearrange the formula to solve for \(V_2\): \(V_2 = V_1 \times \frac{T_2}{T_1}\).
Calculate \(V_2\) by multiplying the initial volume by the ratio of the final temperature to the initial temperature, which will give the new volume the gas occupies at 300 K.
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