The density of the sample of gas is [tex]\boxed{4\times10^{-3}\text{ g}/\text{cm}^3}[/tex] or [tex]\boxed{0.004\text{ g}/\text{cm}^3}[/tex].
Further Explanation:
Density of any kind of matter is defined as the total mass of that substance present in the volume occupied by it in the region of space.
Example (1) : If we consider equal amounts of tungsten and iron, then tungsten is heavier than iron because tungsten occupies lesser volume or lesser empty spaces inside it for a particular mass as compared to iron. Therefore, tungsten has density higher than that of iron.
Example (2): If we take 2 cubes of similar size (same volume) of tungsten and gold then the cube of gold will be heavier because its density is more than that of tungsten.
Given:
The mass of the sampleof the gas is [tex]30\text{ g}[/tex].
The volume of the sample of the gas is [tex]7500\text{ cm}^3[/tex].
Concept:
The density of the substance is defined as the ratio of the mass and volume.
[tex]\boxed{\rho=\dfrac{m}{V}}[/tex] ......(1)
Here, [tex]\rho[/tex] is the density of the sample ofthe gas, [tex]m[/tex] is the mass of the sample of the gas and [tex]V[/tex] is the volume occupied by the gas.
Substitute the value of [tex]m[/tex] and [tex]V[/tex] in equation (1).
[tex]\begin{aligned}\rho&=\dfrac{30\text{ g}}{7500\text{ cm}^3}\\&=4\times10^{-3}\text{ g}/\text{cm}^3\end{aligned}[/tex]
Thus, the density of the sample of gas is [tex]\boxed{4\times10^{-3}\text{ g}/\text{cm}^3}[/tex] or [tex]\boxed{0.004\text{ g}/\text{cm}^3}[/tex].
Learn More:
1. Wind and solar energy are the examples of https://brainly.com/question/1062501
2. Which of the following is not a component of a lever https://brainly.com/question/1073452
3. A 30kg block being pulled on a carpeted floor https://brainly.com/question/7031524
Answer Details:
Grade: middle school
Subject: Physics
Chapter: Matter
Keywords:
Density, sample of gas, 30g gas, volume, 7500 cm3, 7500 cm^3, mass, matter, volume occupied, sample, ratio,grams per centimeter cube
