J.R. S. answered 03/28/23
Ph.D. University Professor with 10+ years Tutoring Experience
Do you know the ideal gas law? If not, you must learn it.
PV = nRT
P = pressure = ?
V = volume in liters = 2.00 L
n = moles of O2 = 10 g x 1 mol O2 / 32 g = 0.3125 mols O2
R = gas constant = 0.0821 Latm/Kmole
T = temperature in Kelvin = 50C + 273 = 323K
Solve for P
P = nRT / V = (0.3125)(0.0821)(323) / 2.00
P = 4.14 atm = 4.1 atm (to 1 decimal place)
PV = nRT
solve for n (moles of helium)
n = PV / RT
n = ?
P = pressure = 1.89x103 kPa ...converted to atm we get 1.89x103 kPa x 1 atm / 101.325 kPa = 18.65 atm
V = volume = 685 L
R = gas constant = 0.0821 Latm/Kmol
T = temperature in Kelvin = 62C + 273 = 335K
n = PV/RT = (18.65)(685) / (0.0821)(335)
n = 465 moles (3 sig. figs.)
Convert this to grams using molar mass of He (4 g/ mol)
mass of helium = 465 mols x 4 g/mol = 1860 g (3 sig. figs.)
Be sure to check the math