![\qquad\qquad\huge\underline{{\sf Answer}}](https://img.qammunity.org/2023/formulas/mathematics/college/c2sxngg8eo14b80i5ilhws8elkvsue4xqb.png)
As we know,
![\sf \qquad density = (mass)/(volume)](https://img.qammunity.org/2023/formulas/mathematics/high-school/p0e00c4vo3et74rxql8xihksx2wqskzptc.png)
So, we can infer that :
![\sf \qquad mass= {density} \cdot{volume}](https://img.qammunity.org/2023/formulas/mathematics/high-school/u8jihlmic1syjvzk0idz87q1guviv97u23.png)
Now, let's calculate the mass of gases in each case :
Case A : Hydrogen ~
![\qquad \sf \dashrightarrow \:mass = 0.09 * (15) {}^(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/jmhpjaca2xw0xttyrzqiaxn8bva62hb3gq.png)
![\qquad \sf \dashrightarrow \:mass = 0.09 * 3375 {}^{}](https://img.qammunity.org/2023/formulas/mathematics/high-school/64sjs6beoncrpxp53y9d6f5dp3atjrqhvn.png)
![\qquad \sf \dashrightarrow \:mass = 303.75 \: \: mg {}^{}](https://img.qammunity.org/2023/formulas/mathematics/high-school/rp5vuwf7nn9annenaajx0t05bczv603b1q.png)
or
![\qquad \sf \dashrightarrow \:mass =0. 30375 \: \: g {}^{}](https://img.qammunity.org/2023/formulas/mathematics/high-school/mho3deto698f3s01dwf8sv5fdis1h13vlt.png)
Case B : Helium ~
![\qquad \sf \dashrightarrow \:mass =0. 175 \: \cdot \: (14 \sdot 12 \sdot10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/oriicwp8h2mlz0896quibbwz7b3qmtaemx.png)
![\qquad \sf \dashrightarrow \:mass =0. 175 \: \cdot \: 1680](https://img.qammunity.org/2023/formulas/mathematics/high-school/h5dajusnv9g7goulpo188u1gwfelvk2omf.png)
![\qquad \sf \dashrightarrow \:mass =0. 175 \: \cdot \: 294 \: \: mg](https://img.qammunity.org/2023/formulas/mathematics/high-school/kpr6u4s1n0knpabjy5eygbb39pig08130v.png)
or
![\qquad \sf \dashrightarrow \:mass = 0.294 \: \: g](https://img.qammunity.org/2023/formulas/mathematics/high-school/xcosi4qdwgrabshy1evfupzyaxjxe09e5x.png)
Case C : Nitrogen ~
![\qquad \sf \dashrightarrow \:mass = 1.251\: \cdot \: (4)/(3) \cdot3.14 \cdot(4) {}^(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/kvfsuus1wd5mgl2l4x8bnl0kuc0pzusoa3.png)
![\qquad \sf \dashrightarrow \:mass = 0.417\: \cdot \: 803.84](https://img.qammunity.org/2023/formulas/mathematics/high-school/4c9ci5sbrscqx67ocya0gt45sngltkrrd4.png)
![\qquad \sf \dashrightarrow \:mass = 335.201 \: \: mg](https://img.qammunity.org/2023/formulas/mathematics/high-school/9yaby61h8ym1j5dn1yssy2tt0ynyby7bd5.png)
or
![\qquad \sf \dashrightarrow \:mass = 0.335 \: \: g](https://img.qammunity.org/2023/formulas/mathematics/high-school/bvrydhosgbwbni147hw3xhk64codqc1pqv.png)
So, the arrangement of masses from least to greatest is :
- (1.) Hydrogen < (2.) Helium < (3.) Nitrogen