Get comprehensive answers to your questions with the help of IDNLearn.com's community. Get the information you need quickly and accurately with our reliable and thorough Q&A platform.

There are three containers filled with different gases as shown.

Container Gas Density Container Dimensions
A Hydrogen - 0.09 mg/cm3 a cube with sides of 15 cm
B Helium - 0.175 mg/cm3 a rectangular prism with sides of 14 cm, 12 cm, 10 cm
C Nitrogen - 1.251 mg/cm3 a sphere with a diameter of 8 cm
What is the correct order of mass from least to greatest?


Sagot :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we know,

[tex] \sf \qquad density = \dfrac{mass}{volume} [/tex]

So, we can infer that :

[tex] \sf \qquad mass= {density} \cdot{volume} [/tex]

Now, let's calculate the mass of gases in each case :

Case A : Hydrogen ~

[tex]\qquad \sf  \dashrightarrow \:mass = 0.09 \times (15) {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 0.09 \times 3375 {}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 303.75 \: \: mg {}^{} [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass =0. 30375 \: \: g {}^{} [/tex]

Case B : Helium ~

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: (14 \sdot 12 \sdot10)[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 1680[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg[/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass = 0.294 \: \: g[/tex]

Case C : Nitrogen ~

[tex]\qquad \sf  \dashrightarrow \:mass = 1.251\: \cdot \: \dfrac{4}{3} \cdot3.14 \cdot(4) {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 0.417\: \cdot \: 803.84[/tex]

[tex]\qquad \sf  \dashrightarrow \:mass = 335.201 \: \: mg[/tex]

or

[tex]\qquad \sf  \dashrightarrow \:mass = 0.335 \: \: g[/tex]

So, the arrangement of masses from least to greatest is :

  • (1.) Hydrogen < (2.) Helium < (3.) Nitrogen
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.