If 750.0 mL of a gas are at 20.00°C and 730.0 mm, determine its volume at S.T.P
First, solve for n (number of moles)
Pressure to ATM
Volume to Liters
Temp to Kelvin
PV = nRT
(730.0 mm / 760.0 mm) x (750.0 mL / 1000 mL) = n x .0821 x (20 C + 273 C)
.9605 atm x .75 L = .0821n x 293 K
n = .0299 mol Gas
Then, use same equation for STP
STP = 1 atm, 273 K
1 atm x V = .0299 mol x .0821 x 273 K
V = .6712 L or 671.2 mL
You can use the combined gas law:
P1V1/T1 = P2V2/T2
Substituting:
(730.0)(750.0)/293 K = (760.0)V2/273 K
Solve for V2
V2 = 671.2 mL
If you use combined gas law, you don't have to convert units (as long as the units for initial and final conditions are the same)
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Answers & Comments
First, solve for n (number of moles)
Pressure to ATM
Volume to Liters
Temp to Kelvin
PV = nRT
(730.0 mm / 760.0 mm) x (750.0 mL / 1000 mL) = n x .0821 x (20 C + 273 C)
.9605 atm x .75 L = .0821n x 293 K
n = .0299 mol Gas
Then, use same equation for STP
STP = 1 atm, 273 K
PV = nRT
1 atm x V = .0299 mol x .0821 x 273 K
V = .6712 L or 671.2 mL
You can use the combined gas law:
P1V1/T1 = P2V2/T2
Substituting:
(730.0)(750.0)/293 K = (760.0)V2/273 K
Solve for V2
V2 = 671.2 mL
If you use combined gas law, you don't have to convert units (as long as the units for initial and final conditions are the same)