Density Calculation: Fluid With Relative Specific Weight

Hey everyone! Today, we're diving into a cool chemistry problem: figuring out the density of a fluid. Specifically, we're dealing with a fluid that has a relative specific weight compared to water. Don't worry, it sounds more complicated than it is! Let's break it down, step by step, so you can totally nail it. We'll start with the basics of density and relative specific weight and then show you how to solve the problem with style.

Understanding Density and Specific Weight

Alright, first things first: what is density, and what does 'relative specific weight' even mean? Density, in simple terms, tells us how much 'stuff' (mass) is packed into a certain space (volume). We usually measure it in kilograms per cubic meter (kg/m³). Think of it like this: a dense object has a lot of mass crammed into a small space, like a rock. On the other hand, something less dense, like a feather, has less mass spread out over the same space.

Now, let's talk about specific weight. Specific weight is the weight of a substance per unit volume. It is related to density by the equation: specific weight = density * acceleration due to gravity (approximately 9.81 m/s² on Earth). The relative specific weight is the ratio of the specific weight of a substance to the specific weight of a reference substance, usually water. So, if a fluid has a relative specific weight of 0.9 compared to water, it means its specific weight is 0.9 times that of water. In this case, we have a fluid and water to compare. Knowing these details lets us easily calculate everything. The density of water is 1000 kg/m³. If the relative specific weight of a fluid is 0.9 concerning water, then we can easily solve this problem.

Now, let's go over some key formulas to keep in mind. Density is calculated as mass divided by volume (Density = Mass / Volume). Remember that the specific weight is calculated as the density multiplied by the acceleration due to gravity (Specific Weight = Density * Gravity). These formulas are the foundation for understanding this concept. Let us keep in mind that the relative specific weight is the ratio of the specific weight of a substance to the specific weight of a reference substance (Relative Specific Weight = Specific Weight of Substance / Specific Weight of Reference Substance).

Alright, so, we're armed with the basics. Now, let's get down to the actual problem and crush it.

Solving the Density Problem: The Easy Way

Okay, guys, let's get down to the nitty-gritty of solving this density problem. We know the relative specific weight of our mystery fluid is 0.9 compared to water. We also know that the density of water is 1000 kg/m³. Here's how to figure out the density of our fluid:

1. Understand the Relationship: The relative specific weight tells us how the fluid's weight compares to water's weight. Because specific weight is directly proportional to density, we can use the relative specific weight to find the fluid's density.
2. Use the Formula: Since the relative specific weight is 0.9, the fluid's density is 0.9 times the density of water. Therefore, Density of Fluid = Relative Specific Weight × Density of Water.
3. Plug in the Numbers: Density of Fluid = 0.9 × 1000 kg/m³.
4. Calculate: Density of Fluid = 900 kg/m³.

Easy peasy, right? The density of the fluid is 900 kg/m³. That means the answer is option A! By using the relative specific weight and the density of water, we can determine the density of the unknown fluid. Pretty cool, huh?

Keep in mind that this method uses the relative specific weight of the fluid compared to the water. In the end, we can easily find the density of the fluid. We can see how the relative specific weight is used to help find the density of the fluid. The density of a fluid can be calculated with a few simple steps. That is all there is to it! Remember to keep your units consistent throughout your calculations. This makes the whole process smoother and more accurate. This approach can be applied in various scenarios. This will help with all kinds of similar problems.

Conclusion: You Got This!

So, there you have it, folks! We've successfully calculated the density of a fluid using its relative specific weight. It's all about understanding the concepts of density, specific weight, and how they relate to each other. Once you get the hang of it, these kinds of problems become a breeze.

Remember to break down the problem into smaller steps. Make sure to use the right formula, and don't forget to double-check your calculations. Practice makes perfect, so try working through similar problems on your own. You'll be a density-calculating pro in no time! We have gone through all the details necessary to find the right answer. We can see that the correct answer is A) 900 kg/m³.

Hopefully, this breakdown has helped you understand the concepts of density and relative specific weight. Now, get out there and tackle those chemistry problems with confidence! If you have any questions, feel free to ask, and happy calculating!