Answer : The volume of the gas is, 101 liters
Solution :
Using ideal gas equation :
![PV=nRT\\\\V=\frac{nRT}{P}](https://tex.z-dn.net/?f=PV%3DnRT%5C%5C%5C%5CV%3D%5Cfrac%7BnRT%7D%7BP%7D)
where,
n = number of moles of gas = 35.8 moles
P = pressure of the gas = 10.0 atm
T = temperature of the gas = ![70^oC=273+70=343K](https://tex.z-dn.net/?f=70%5EoC%3D273%2B70%3D343K)
R = gas constant = 0.0821 L.atm/mole.K
V = volume of gas = ?
Now put all the given values in the above equation, we get the volume of the gas.
![V=\frac{nRT}{P}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7BnRT%7D%7BP%7D)
![V=\frac{35.8mole\times (0.0821L.atm/mole.K)\times 343K}{10atm}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B35.8mole%5Ctimes%20%280.0821L.atm%2Fmole.K%29%5Ctimes%20343K%7D%7B10atm%7D)
![V=100.81L\approx 101L](https://tex.z-dn.net/?f=V%3D100.81L%5Capprox%20101L)
Therefore, the volume of the gas is, 101 liters