First, we need to convert the temperature from Celsius to Kelvin by adding 273.15 to it:
90°C + 273.15 = 363.15 K
Then, we can use the Ideal Gas Law to solve for the number of moles:
PV = nRT
where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
We are given P = 0.90 atm, V = 20 L, and T = 363.15 K. We also need to convert the pressure from atm to kPa:
0.90 atm × 101.3 kPa/atm = 91.17 kPa
Substituting these values into the Ideal Gas Law equation and solving for n, we get:
n = PV/RT = (91.17 kPa)(20 L)/(8.31 L kPa/K mol)(363.15 K) = 0.0815 mol
Therefore, the number of moles of bromine gas that would occupy a volume of 20 L at a pressure of 0.90 atm and a temperature of 90°C is 0.0815 mol.


