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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?

User Lakindu
by
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2 Answers

7 votes

Answer:

Helium<Hydrogen<Nitrogen

Explanation:

There are three containers filled with different gases as shown. Container Gas Density-example-1
User Senthalan
by
5.3k points
4 votes


\qquad\qquad\huge\underline{{\sf Answer}}

As we know,


\sf \qquad density = (mass)/(volume)

So, we can infer that :


\sf \qquad mass= {density} \cdot{volume}

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

Case A : Hydrogen ~


\qquad \sf&nbsp; \dashrightarrow \:mass = 0.09 * (15) {}^(3)


\qquad \sf&nbsp; \dashrightarrow \:mass = 0.09 * 3375 {}^{}


\qquad \sf&nbsp; \dashrightarrow \:mass = 303.75 \: \: mg {}^{}

or


\qquad \sf&nbsp; \dashrightarrow \:mass =0. 30375 \: \: g {}^{}

Case B : Helium ~


\qquad \sf&nbsp; \dashrightarrow \:mass =0. 175 \: \cdot \: (14 \sdot 12 \sdot10)


\qquad \sf&nbsp; \dashrightarrow \:mass =0. 175 \: \cdot \: 1680


\qquad \sf&nbsp; \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg

or


\qquad \sf&nbsp; \dashrightarrow \:mass = 0.294 \: \: g

Case C : Nitrogen ~


\qquad \sf&nbsp; \dashrightarrow \:mass = 1.251\: \cdot \: (4)/(3) \cdot3.14 \cdot(4) {}^(3)


\qquad \sf&nbsp; \dashrightarrow \:mass = 0.417\: \cdot \: 803.84


\qquad \sf&nbsp; \dashrightarrow \:mass = 335.201 \: \: mg

or


\qquad \sf&nbsp; \dashrightarrow \:mass = 0.335 \: \: g

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

  • (1.) Hydrogen < (2.) Helium < (3.) Nitrogen
User Rich Green
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5.3k points