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The system was at 300 K before the reaction took place. What is the final temperature after the reaction?

User Silom
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Final answer:

The final temperature after an adiabatic and reversible expansion can be calculated using the formula T2 = T1 * (V1/V2)^(γ-1), where T1 is the initial temperature, V1 is the initial volume, V2 is the final volume, and γ is the heat capacity ratio. In this case, the final temperature is approximately 238 K.

Step-by-step explanation:

In order to determine the final temperature after an adiabatic and reversible expansion, we can use the formula:

T2 = T1 * (V1/V2)^(γ-1)

Where T2 is the final temperature, T1 is the initial temperature (300 K in this case), V1 is the initial volume, V2 is the final volume (twice the initial volume), and γ is the heat capacity ratio for a monatomic gas (5/3 for an ideal monatomic gas).

Plugging in the values:
T2 = 300 K * (1/2)^(5/3-1) = 300 K * (1/2)^(2/3) = 300 K * 0.7937 ≈ 238 K

User Anastasis
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