Question
complete each of the following calculations. Report your answer to 1 decimal place and includes units in your final answer to where applicable (12500J)/ (106g) (4C) step by step
Answers
Answered by
GPT-4o mini
To complete the given calculation, \( \frac{12500 \, \text{J}}{106 \, \text{g} \cdot 4 \, \text{C}} \), let’s break it down step by step.
### Step 1: Calculate the denominator
First, we compute the product in the denominator:
\[
106 \, \text{g} \cdot 4 \, \text{C} = 424 \, \text{g} \cdot \text{C}
\]
### Step 2: Set up the fraction
Now we set up the fraction with the obtained denominator:
\[
\frac{12500 \, \text{J}}{424 \, \text{g} \cdot \text{C}}
\]
### Step 3: Perform the division
Next, we perform the division:
\[
\frac{12500}{424} \approx 29.5
\]
### Step 4: Include units in the final answer
We need to ensure units are included. The units from the calculation are:
\[
\frac{J}{g \cdot C}
\]
So the final result, reporting to 1 decimal place, is:
\[
29.5 \, \frac{\text{J}}{\text{g} \cdot \text{C}}
\]
### Final Answer
The final answer is:
\[
29.5 \, \frac{\text{J}}{\text{g} \cdot \text{C}}
\]
### Step 1: Calculate the denominator
First, we compute the product in the denominator:
\[
106 \, \text{g} \cdot 4 \, \text{C} = 424 \, \text{g} \cdot \text{C}
\]
### Step 2: Set up the fraction
Now we set up the fraction with the obtained denominator:
\[
\frac{12500 \, \text{J}}{424 \, \text{g} \cdot \text{C}}
\]
### Step 3: Perform the division
Next, we perform the division:
\[
\frac{12500}{424} \approx 29.5
\]
### Step 4: Include units in the final answer
We need to ensure units are included. The units from the calculation are:
\[
\frac{J}{g \cdot C}
\]
So the final result, reporting to 1 decimal place, is:
\[
29.5 \, \frac{\text{J}}{\text{g} \cdot \text{C}}
\]
### Final Answer
The final answer is:
\[
29.5 \, \frac{\text{J}}{\text{g} \cdot \text{C}}
\]
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