Kinetic Theory of Gases: Practice Problem & Solution
Assertion (A): The pressure exerted by an enclosed ideal gas does not depend on the shape of the container. Reason (R): The pressure of an ideal gas depends on the number of moles, temperature and volume of the enclosure.
Solution Explained:
To solve this problem, we apply the core principles of Kinetic Theory of Gases. Understanding the underlying formula is key to arriving at the correct answer below:
Pressure of an ideal gas is given by \( PV = nRT \). For a fixed amount of gas at a given temperature, P depends on V, not shape. So, (A) is true. Also, \( P = \frac{nRT}{V} \), so P depends on n, T, V. So, (R) is true. (R) correctly explains that since the ideal gas law depends only on V (not shape for a given V), A is true.
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