Which of the following statements is incorrect?(a) As the temperature of a gas increases, its volumeincreases.(b) As the temperature of a gas increases, its densitydecreases.(c) As the temperature of a gas increases, its densityincreases.(d) Both (a) and (c)
Question
Which of the following statements is incorrect?(a) As the temperature of a gas increases, its volumeincreases.(b) As the temperature of a gas increases, its densitydecreases.(c) As the temperature of a gas increases, its densityincreases.(d) Both (a) and (c)
Solution
To determine which statement is incorrect, let's analyze each option:
(a) As the temperature of a gas increases, its volume increases. This statement is known as Charles's Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure. Therefore, this statement is correct.
(b) As the temperature of a gas increases, its density decreases. This statement is incorrect. According to the ideal gas law, the density of a gas is inversely proportional to its temperature, assuming constant pressure. As the temperature increases, the gas particles move faster and spread out, resulting in a decrease in density.
(c) As the temperature of a gas increases, its density increases. This statement is also incorrect. As mentioned before, the density of a gas decreases as its temperature increases.
(d) Both (a) and (c) Since statement (c) is incorrect, option (d) is also incorrect.
Therefore, the incorrect statement is (b) "As the temperature of a gas increases, its density decreases."
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