76.00 lb flask or mercury costs $137, the density of mercury is 13.534 g/cm^3. determine the price of one gram of mercury 

To determine the price of one gram of mercury, we'll first calculate the total number of grams in the 76.00 lb flask and then find the cost per gram.

### Step 1: Convert the weight of the flask to grams
The weight of the flask is given as 76.00 lb. To convert this to grams:

1 lb = 453.592 grams, so:
\[
76.00 \, \text{lb} \times 453.592 \, \text{g/lb} = 34473.03 \, \text{grams}
\]

### Step 2: Calculate the price per gram of mercury
The total cost of the mercury flask is $137. Therefore, the price per gram is:
\[
\text{Price per gram} = \frac{137}{34473.03} \approx 0.00397 \, \text{\$/gram}
\]

Thus, the price of one gram of mercury is approximately **$0.00397**.

Would you like further details or have any questions?

Here are some related questions:
1. How would the price change if the weight of the flask was different, say 50 lbs?
2. How does the price per gram of mercury compare to other metals like gold or silver?
3. What would be the total cost for a 500-gram sample of mercury?
4. How is the density of mercury related to its cost when purchasing in bulk?
5. How would fluctuations in the price of mercury affect industries that use it?

**Tip:** When calculating cost per unit, always ensure that your unit conversions are accurate to avoid errors.

Learn how to determine the price of one gram of mercury from a 76.00 lb flask costing $137. This problem involves unit conversion, cost calculation per unit, and density considerations. Suitable for advanced high school students and anyone interested in cost analysis of materials.

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