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 …

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asked Nov 12, 2023 128k views

2 Answers

Rich Green · Answer 1 · 2023-11-16T21:34:56+0000

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

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 :

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

$\qquad \sf  \dashrightarrow \:mass = 0.09 * 3375 {}^{}$

$\qquad \sf  \dashrightarrow \:mass = 303.75 \: \: mg {}^{}$

or

$\qquad \sf  \dashrightarrow \:mass =0. 30375 \: \: g {}^{}$

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

$\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 1680$

$\qquad \sf  \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg$

or

$\qquad \sf  \dashrightarrow \:mass = 0.294 \: \: g$

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

$\qquad \sf  \dashrightarrow \:mass = 0.417\: \cdot \: 803.84$

$\qquad \sf  \dashrightarrow \:mass = 335.201 \: \: mg$

or

$\qquad \sf  \dashrightarrow \:mass = 0.335 \: \: g$

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