Which generalization can be made about the relationship between the temperature and volume of a gas, assuming pressure and amount of gas are constant?

• A. As temperature increases, the volume of the gas increases.
• B. Temperature and volume of a gas are unrelated.
• C. As temperature increases, the volume of the gas remains constant.
• D. As temperature increases, the volume of the gas decreases.

Answer: (A)

Verified step by step guidance

1. Recall that the problem involves the relationship between temperature and volume of a gas while keeping pressure and amount of gas constant. This situation is described by Charles's Law.
2. 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 constant. Mathematically, this is expressed as \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\), where \(V\) is volume and \(T\) is temperature.
3. Understand that 'directly proportional' means if the temperature increases, the volume increases as well, and if the temperature decreases, the volume decreases, provided pressure and moles of gas do not change.
4. Note that temperature must be in Kelvin for this law to apply correctly, because Kelvin is an absolute temperature scale starting at absolute zero.
5. Therefore, the generalization is: as temperature increases, the volume of the gas increases, assuming constant pressure and amount of gas.