Answer:
883.44g
Step-by-step explanation:
let us assume that the unit of the pressure is given in "atm" since it was not clearly stated in this problem.
Given parameters:
Volume of gas = 2liters
Temperature of gas = 298K
Pressure on the gas = 100atm
Unknown :
Mass of the gas = ?
Solution:
Applying the ideal gas law and the mathematical equation will give us a problem where we can easily solve for the number of moles.
After finding the number of moles, the mass is easy to deduce from it.
Ideal gas equation is given as:
PV = nRT
where P is the pressure on the gas
V is the volume of the gas
n is the number of moles
R is the gas constant = 0.082atm dm³mol⁻¹K⁻¹
T is the temperature on the gas
Now let us solve for the number of moles;
100 x 2 = n x 0.082 x 298
n = 8.18moles
Since;
mass = number of moles x molar mass
Molar mass of N₂O₅ = 2(14) + 5(16) = 108g/mol
Mass of N₂O₅ = 8.18 x 108 = 883.44g