`k_(t+10)//k_1` is knows as:

Options

A. Ratio of equilibrium constants
B. Temperature coefficient
C. Difference in temperature of reversible reactions
D. None of these

Answer

To solve the question regarding the term \( \frac{k_{t+10}}{k_1} \), we can follow these steps:

### Step 1: Understand the Context
The question refers to the effect of temperature on the rate constant of a chemical reaction. The rate constant, denoted as \( k \), is influenced by temperature changes.

**Hint:** Remember that the rate constant \( k \) changes with temperature, and this relationship is crucial in kinetics.

### Step 2: Define the Temperature Coefficient
The temperature coefficient is a measure of how much the rate constant increases with a rise in temperature. Specifically, for a temperature increase of 10 degrees Celsius, the rate constant typically doubles.

**Hint:** Consider how the rate constant behaves with temperature changes. What does doubling imply?

### Step 3: Express the Temperature Coefficient
The temperature coefficient \( Q_{10} \) is defined as:
\[ Q_{10} = \frac{k_{t+10}}{k_t} \]
where \( k_t \) is the rate constant at temperature \( t \) and \( k_{t+10} \) is the rate constant at temperature \( t + 10 \).

**Hint:** Identify the variables in the equation and what they represent in terms of temperature changes.

### Step 4: Relate \( k_{t+10} \) to \( k_1 \)
In the context of the question, if we assume \( k_1 \) represents \( k_t \) (the rate constant at some initial temperature), then we can rewrite the expression as:
\[ \frac{k_{t+10}}{k_1} = Q_{10} \]
This indicates that the ratio of the rate constants at two temperatures (one being 10 degrees higher) is the temperature coefficient.

**Hint:** Think about how \( k_1 \) fits into the broader context of the temperature coefficient.

### Step 5: Conclusion
Thus, \( \frac{k_{t+10}}{k_1} \) is known as the temperature coefficient, which quantifies the effect of a 10-degree Celsius increase in temperature on the rate constant of a reaction.

**Final Answer:** The term \( \frac{k_{t+10}}{k_1} \) is known as the temperature coefficient.

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