Final answer:
To find the specific gravity of the liquid, subtract the weight of the empty bottle from the total weight when filled with the liquid, and then divide by the weight of an equal volume of water. The specific gravity of the liquid, using the values provided, is approximately 1.05, which does not match any of the given options.
Step-by-step explanation:
To calculate the specific gravity of a liquid, we compare the weight of a certain volume of the liquid to the weight of the same volume of pure water. Given that the specific gravity of water is 1.0, we can use the following weights provided:
- Weight of the empty specific gravity bottle: 23.66 g
- Weight of the bottle filled with water: 71.74 g
- Weight of the bottle filled with the liquid: 74.26 g
We can find the weight of the water and the liquid by subtracting the weight of the empty bottle from the respective total weights:
- Weight of water = 71.74 g - 23.66 g = 48.08 g
- Weight of the liquid = 74.26 g - 23.66 g = 50.60 g
Now, we divide the weight of the liquid by the weight of the water to find the specific gravity:
Specific gravity of the liquid = Weight of the liquid / Weight of water
Specific gravity of the liquid = 50.60 g / 48.08 g ≈ 1.05
The specific gravity of the liquid is therefore approximately 1.05, which doesn't match any of the options provided in the question. The provided options may be incorrect or there might have been an error in the question. However, using the provided information, we have calculated the specific gravity according to the correct procedure.