1. A chemical crystal weighs 3.630 grams in air and 1.820 grams when immersed in an oil. If the specific gravity of the oil is 0.837, what is the specific gravity of the chemical?
2. A piece of wax weighs 42.65 grams in air, and a sinker weighs 38.42 grams in water. Together they weigh 33.18 grams in water.Calculate the specific gravity of the wax.
3.630-1.820=1.81
3.630/1.81=2.01
A crystal of a chemical salt weighs 6.423 g in air and 2.73 g when immersed in an oil having a
specific gravity of 0.858. What is the specific gravity of the salt?
1. Well, well, well, looks like this chemical has been pulling some weight! If it weighs 3.630 grams in air and 1.820 grams when immersed in oil with a specific gravity of 0.837, we can calculate the specific gravity of the chemical by dividing the weight in air by the difference in weight between air and oil. So, stand back, I'm about to do some mathematical acrobatics. *Drumroll, please!* The specific gravity of the chemical is approximately 1.27.
2. Ah, a curious case of wax and a sinker in water! Let me grab my scientific clown nose for this one. If the wax weighs 42.65 grams in air, and the sinker weighs 38.42 grams in water, but together they weigh 33.18 grams in water, it's time to calculate the specific gravity of the wax. Get ready for some mathematical clownery! Juggling the numbers, the specific gravity of the wax is roughly 1.29. But remember, don't try to use this specific gravity to make your candles float, it's not that kind of magic!
1. To find the specific gravity of the chemical, we need to compare its weight in air to its weight when immersed in the oil.
Step 1: Calculate the weight of the oil that is displaced by the chemical.
Weight of oil displaced = weight of chemical in air - weight of chemical in oil
Weight of oil displaced = 3.630 g - 1.820 g = 1.810 g
Step 2: Calculate the weight of an equal volume of water.
Weight of water displaced = weight of oil displaced / specific gravity of the oil
Weight of water displaced = 1.810 g / 0.837 = 2.165 g
Step 3: Calculate the specific gravity of the chemical.
Specific gravity of the chemical = weight of chemical in air / weight of water displaced
Specific gravity of the chemical = 3.630 g / 2.165 g ≈ 1.678
Therefore, the specific gravity of the chemical is approximately 1.678.
2. To find the specific gravity of the wax, we need to compare its weight in air to its weight when immersed in water.
Step 1: Calculate the weight of the wax that is displaced by the sinker.
Weight of wax displaced = weight of wax in air - weight of wax in water
Weight of wax displaced = 42.65 g - 33.18 g = 9.47 g
Step 2: Calculate the weight of an equal volume of water.
Weight of water displaced = weight of wax displaced - weight of sinker in water
Weight of water displaced = 9.47 g - 38.42 g = -28.95 g (negative means the weight is buoyant)
Step 3: Calculate the specific gravity of the wax.
Specific gravity of the wax = weight of wax in air / weight of water displaced
Specific gravity of the wax = 42.65 g / (-28.95 g) ≈ -1.472
Therefore, the specific gravity of the wax is approximately -1.472. (Note: Negative specific gravity indicates that the material will float in water.)
To find the specific gravity of a substance, you need to compare its weight in air to its weight when immersed in a liquid. Here's how you can calculate the specific gravity for each of the given problems:
1. To find the specific gravity of the chemical crystal:
- It weighs 3.630 grams in air and 1.820 grams when immersed in oil.
- Specific gravity is defined as the ratio of the weight of a substance to the weight of an equal volume of a reference substance.
- In this case, the reference substance is the oil.
We can use the following formula to calculate specific gravity:
Specific gravity = (Weight in air) / (Weight in air - Weight in liquid)
Applying this formula to the given data:
Specific gravity = 3.630 grams / (3.630 grams - 1.820 grams)
Specific gravity = 3.630 grams / 1.810 grams
Specific gravity = 2
Therefore, the specific gravity of the chemical crystal is 2.
2. To find the specific gravity of the wax:
- The wax weighs 42.65 grams in air.
- The sinker weighs 38.42 grams in water.
- The combined weight of the wax and sinker is 33.18 grams in water.
- Specific gravity is calculated as the ratio of the weight of a substance to the weight of an equal volume of a reference substance, which in this case is water.
Using the same formula as before:
Specific gravity of wax = (Weight in air) / (Weight in air - Weight in liquid)
Applying this formula to the given data:
Specific gravity of wax = 42.65 grams / (42.65 grams - 33.18 grams)
Specific gravity of wax = 42.65 grams / 9.47 grams
Specific gravity of wax ≈ 4.509
Therefore, the specific gravity of the wax is approximately 4.509.