Question

Calculate the density of a sample of gas with a mass of 30 g and volume of 7500 cm3.

Answer 1

The density of the sample of gas is $\boxed{4\times10^{-3}\text{ g}/\text{cm}^3}$ or $\boxed{0.004\text{ g}/\text{cm}^3}$.  

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 $30\text{ g}$.

The volume of the sample of the gas is $7500\text{ cm}^3$.

Concept:

The density of the substance is defined as the ratio of the mass and volume.

$\boxed{\rho=\dfrac{m}{V}}$                                      ......(1)

Here, $\rho$ is the density of the sample ofthe gas, $m$ is the mass of the sample of the gas and $V$ is the volume occupied by the gas.

Substitute the value of $m$ and $V$ in equation (1).

$\begin{aligned}\rho&=\dfrac{30\text{ g}}{7500\text{ cm}^3}\\&=4\times10^{-3}\text{ g}/\text{cm}^3\end{aligned}$

Thus, the density of the sample of gas is $\boxed{4\times10^{-3}\text{ g}/\text{cm}^3}$ or $\boxed{0.004\text{ g}/\text{cm}^3}$.

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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

Answer 2

By definition we have that the density is given by:

$D = \frac{M}{V}$

Where,

M: mass of the sample

V: volume occupied by the sample

Therefore, substituting values in the given equation we have:

$D = \frac{30}{7500}$

$D = 0.004 \frac{g}{cm^3}$

Answer:

the density of a sample of gas with a mass of 30 g and a volume of 7500 cm3 is:

$D = 0.004 \frac{g}{cm^3}$