Answer:
The mass of neon is 13.534 g.
Step-by-step explanation:
Given that,
Volume = 3.8 L
Pressure = 6.8 atm
Temperature = 470 K
Atomic mass of neon =20.2 g/mol
Gas constant R = 8.314 = 0.082057 L atm/mol K
We need to calculate the mass of neon
Using equation of gas
![PV=nRT](https://img.qammunity.org/2020/formulas/chemistry/high-school/uelah1l4d86yyc7nr57q25hwn1eullbhy3.png)
![6.8*3.8=n*0.082057*470](https://img.qammunity.org/2020/formulas/physics/college/a17rqib3cj4nk8d9hmec1ft4g5tiri7emq.png)
![n=(6.8*3.8)/(0.082057*470)](https://img.qammunity.org/2020/formulas/physics/college/7wnyoy1bru35k4brzhijx7d12xxcax8gq4.png)
![n= 0.670](https://img.qammunity.org/2020/formulas/physics/college/a3gehn3kcq8uwgfw7dcho630zoi229jcy4.png)
We know that,
![n = (m)/(molar\ mass)](https://img.qammunity.org/2020/formulas/physics/college/ewscdh18he2jgdvbknvvzp1lmg70vln8dp.png)
![m = n* molar\ mass](https://img.qammunity.org/2020/formulas/physics/college/eqwqz2atiz0ibob1y4ptah16qsbo99dqct.png)
![m=0.670*20.2](https://img.qammunity.org/2020/formulas/physics/college/sui33f7tdxyjejgb3lf4q9q5uh01km744v.png)
![m=13.534\ g](https://img.qammunity.org/2020/formulas/physics/college/ygyqv6q9zss1ektm8hi3cnws249pwoq96m.png)
Hence, The mass of neon is 13.534 g.