To solve this problem, we need to know a few things first:
We can solve it using the following formula: PV = nRT
where:
P = pressure
V = volume
n = number of moles
R = gas constant
T = temperature
We also know that n = m/MM
where:
m = mass
MM = molar mass
Step 1 - Let's find out the number of moles of the hydrogen gas
Step 2 - Transform all units into the unit of the gas constant R (0.082 atm.L/K.mol
Step 3 - use the formula PV = nRT to find out the pressure
Step 1:
MM of H2 = 1x2 = 2 g/mol
m = 89.10
n = 89.10/2
n = 44.55 moles
Step 2:
1000 mL = 1L
8,583 mL = 8.583 L
TK = Tc + 273.15
TK = 140 + 273.15
Tk = 413.15
Step 3:
PV = nRT
P x 8.583 = 44.55 x 0.082 x 413.15
P = 1,509.7/8.585
P = 175.8 atm
Answer: The answer is 175.8 atm