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For a chemical reaction, Delta C(p) is n...

For a chemical reaction, `Delta C_(p)` is negative `(Delta C_(p) lt 0)`.
The heat required to increase temperature of reactants of this reaction by a certain amount `=q_(1)` and heat required to increase temperature of products of the same reaction by same amount `=q_(2)`, Relate `q_(1)` and `q_(2)`

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To relate \( q_1 \) and \( q_2 \) based on the given information, we can follow these steps: ### Step 1: Understand the Definitions - **Heat Capacity (\( C_p \))**: It is defined as the amount of heat required to raise the temperature of a substance by 1 degree Celsius (or 1 Kelvin). - **Change in Heat Capacity (\( \Delta C_p \))**: This is defined as the difference in heat capacities between products and reactants in a chemical reaction. ### Step 2: Write the Expression for \( \Delta C_p \) - According to the problem, we know that: \[ \Delta C_p = C_{p, \text{products}} - C_{p, \text{reactants}} \] - We can express this in terms of \( q_1 \) and \( q_2 \): \[ \Delta C_p = q_2 - q_1 \] ### Step 3: Analyze the Given Condition - We are given that \( \Delta C_p < 0 \). This means: \[ q_2 - q_1 < 0 \] - Rearranging this inequality gives us: \[ q_2 < q_1 \] ### Step 4: Conclusion - From the above steps, we can conclude that: \[ q_1 > q_2 \] - This means that the heat required to increase the temperature of the reactants (\( q_1 \)) is greater than the heat required to increase the temperature of the products (\( q_2 \)). ### Final Relation Thus, the relationship between \( q_1 \) and \( q_2 \) is: \[ q_1 > q_2 \]
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