Multiple Choice
What volume is occupied by 1.00 mole of an ideal gas at a pressure of 2.00 atm and a temperature of 20.0 °C?
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7. Gases
The Ideal Gas Law Applications
Multiple Choice
At a constant pressure and amount of gas, which of the following describes the relationship between the volume and temperature of an ideal gas?
A
Volume and temperature are unrelated.
B
Volume increases as temperature increases.
C
Volume decreases as temperature increases.
D
Volume remains constant as temperature increases.
Verified step by step guidance1
Recall Charles's Law, which describes the relationship between the volume and temperature of an ideal gas at constant pressure and amount of gas.
Charles's Law states that the volume of a gas is directly proportional to its absolute temperature (in Kelvin) when pressure and amount of gas are held constant.
Mathematically, this relationship is expressed as \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\), where \(V\) is volume and \(T\) is temperature in Kelvin.
This means that if the temperature of the gas increases, the volume must also increase to maintain the equality, assuming pressure and amount of gas do not change.
Therefore, the correct description is that volume increases as temperature increases under these conditions.
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