Suppose two 200 L tanks were filled separately with helium and hydrogen gas. What mass of each gas is needed to produce a pressure of 135 atm in its respective tank at 24 degrees Celsius?
We can solve the problem using PV=nRT (135 atm) (200 L) = n (.080206) (297 K) n = 1107.28 mol 1107.28 mol H x 1.01 g H= 1118.35 g H If you use PV=nRT you get the same answer for helium. 1107.28 mol He x 4.003 g He= 4432.00 g He
PV=nRT
ReplyDeletehydrogen= (135atm)(200L)=(n)(8.31)(297K)
n=10.9mol*2.02gH2/1mol= 22.01g H2
helium= (135atm)(200L)=(n)(8.31)(297K)
n=10.9mol*4.002gHe/1mol=43.62g He
given: Volume: 200 L
ReplyDeletePressure: 135 atm
Temperature: 24 C +273= 297 K
PV=nRT
n= PV/RT
n= (135)(200)/ (.08206)(297)
n= 1107.84 mol
Hydrogen: 1107.84 mol * (1.01g / 1 mol) = 1118.92 g Hydrogen
Helium: 1107.84 mol * (4.003 g / 1 mol)= 4434.67 g Helium
PV= nRT
ReplyDeletefor Hydrogen...
n= (PV/RT)= (135 atm)(200 L)/(0.08206 L*atm/K*mol)(24+273.15 K)= 1107.28 mol Hydrogen (g)
for Helium...
n= (PV/RT)= (135 atm)(200 L)/(0.08206 L*atm/K*mol)(24+273.15 K)= 1107.28 mol Helium (g)
1107.28 mol H x (1.01 g H/1 mol H)= 1118.35 g Hydrogen (g)
1107.28 mol He x (4.0026 g He/1 mol He)= 4432.00 g Helium (g)
PV=nRT
ReplyDelete(135atm)(200L)/(.082)(24+273.15K)=
1107.52*1.01=
1118.02gH
1107.52*4.003=4431.97gHe
a) PV=nRT
ReplyDeleten=PV/RT
n=(135 atm*200 L)/[(0.08206 L*atm/mol*K)(297 K)]
n=1107.8 mol H2
1107.8 mol H2*(2.02 g H2/1 mol H2) =2237.8 g H2
b) PV=nRT
n=PV/RT
n=(135 atm*200 L)/[(0.08206 L*atm/mol*K)(297 K)]
n=1107.8 mol He
1107.8 mol He*(4.003 g He/1 mol He) =4434.5 g He
PV = nRT
ReplyDelete(200 L) (135 atm) = n (.080206) (297 K)
n = 1.10 x 10^3 moles
Hydrogen:
1.13 x 10^3 moles x 1.008 grams H / 1 mole H
= 1.14 x 10^3 grams of Hydrogen
Helium:
1.10 x 10^3 moles x 4.003 grams He / 1 mole He
= 4.54 x 10^3 grams of Helium
We can solve the problem using PV=nRT
ReplyDelete(135 atm) (200 L) = n (.080206) (297 K)
n = 1107.28 mol
1107.28 mol H x 1.01 g H= 1118.35 g H
If you use PV=nRT you get the same answer for helium.
1107.28 mol He x 4.003 g He= 4432.00 g He
PV=nRT
ReplyDeleten=PV/RT
n= (135 atm)(200 L)/(0.08206)(297 K)
n=1.11*10^3 mol
Hydrogen
1.11*10^3 mol H* 1.01 g H/1 mol H= 1.12*10^3 g hydrogen gas
Helium
1.11*10^3 mol He*4.00 g He/1 mol He= 4.44*10^3 g helium gas
PV=nRT
ReplyDeletePV/RT=n
H2) n=(135atm)(200L)/(.08206)(297K)
n=1107mol
1107molH2 x 2.02g/mol= 2236gH2
He) n=(135atm)(200L)/(.08206)(297K)
n=1107mol
1107molHe x 4.00g/mol= 4428gHe
n=(P*V)/(R*T)
ReplyDeleten=(135*200)/(.08206*297)
n=1107.84 mol
1107.84 mol * (2.02 g H2/1 mol) =2237 g H2
1107.84 mol * (4.00 h He/1 mol)=4431 g He
PV=nRT
ReplyDelete(200 L) (135 atm) = n (.080206) (297 K)
n = 1107.84 moles
Hydrogen : (1107.84 mol)*(2.02 g/1 mol) = 2237 g
Helium: (1107.84 mol)*(4.00g/1 mol) = 4431 g
(135atm)(200L)=(n)(8.31)(297K)
ReplyDeleten= 1107.84mol He and H each
1107.84molHe*(4.00gHe/1molHe)= 4*10^3 g He
1107.84molH*(1.008gH/1molH)= 1*10^3 g H