Chemistry · The effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bi-molecular gaseous reactions (no derivation)
Assertion The pressure of a fixed amount of an ideal gas is proportional to its
Assertion The pressure of a fixed amount of an ideal gas is proportional to its temperature Reason Frequency of collisions and their impact both increase in proportion to the square root of temperature
- A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
- B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
- C. Assertion is correct but Reason is incorrect
- D. Assertion is incorrect but Reason is correct
Step-by-step solution
For an ideal gas at constant volume, pressure is directly proportional to absolute temperature (Gay-Lussac's law). The reason explains this from kinetic theory: both collision frequency and impulse per collision are proportional to sqrt(T), so pressure (rate of momentum transfer) is proportional to T. Thus, both statements are correct and the reason correctly explains the assertion.
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