Given a bottle weighs 0.45 lb empty, 0.84 lb when filled with water, and 0.77 lb with a new product, what is the specific gravity of the new product?

To determine the specific gravity of the new product, we first need to understand the concept of specific gravity, which is defined as the ratio of the density of a substance to the density of water. Since we are working with weights, specific gravity can also be calculated using the weights of the bottle empty, filled with water, and filled with the new product.

Here’s the approach to find the specific gravity of the new product:

1. Calculate the weight of the new product alone by subtracting the weight of the empty bottle from the weight of the bottle filled with the new product.

Weight of the new product = Weight of bottle with new product - Weight of empty bottle = 0.77 lb - 0.45 lb = 0.32 lb.

2. Similarly, calculate the weight of water:

Weight of water = Weight of bottle with water - Weight of empty bottle = 0.84 lb - 0.45 lb = 0.39 lb.

3. Now, we can calculate the specific gravity of the new product using the equation:

Specific gravity = (Weight of new product) / (Weight of water) = 0.32 lb / 0.39 lb.

4. Calculating this