Ideal Gas Pressure and Container Shape – Rankers Physics
Topic: Thermal Physics
Subtopic: Kinetic Theory of Gases

Ideal Gas Pressure and Container Shape

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.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

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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