A sample of acetylene occupies 23.8 L at 35.0°C and a pressure of 805mm Hg. What volume does it occupy at STP?
a. 28.44L
b. 22.3L
c.28.4L
d.22.34L
Figure out the number of moles of acetylene present using the ideal gas law :
Ideal gas law :
PV = nRT
P = (805 mm Hg) x (1 atm / 760 mm Hg) = 1.06 atm
V = 23.8 L
n = ?
R = (0.08206 L•atm / mol•K)
T = 308 K ................... [ converting Celsius to Kelvin; (35.0 + 273) = 308 ]
Rearranging the ideal gas law equation to solve for n gives
n = (PV / RT)
= { [(1.06 atm) x (23.8 L)] / [(0.08206 L•atm / mol•K) x (308 K)]}
= 0.998 moles acetylene
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That's very nearly 1 mole of acetylene,
hence at STP it would have a volume of 22.4 L .
The calculation shows it, of course :
(0.998 moles) x (22.4 L / 1 mole) = 22.4 L .... [ rounded to 3 significant figures ]
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Figure out the number of moles of acetylene present using the ideal gas law :
Ideal gas law :
PV = nRT
P = (805 mm Hg) x (1 atm / 760 mm Hg) = 1.06 atm
V = 23.8 L
n = ?
R = (0.08206 L•atm / mol•K)
T = 308 K ................... [ converting Celsius to Kelvin; (35.0 + 273) = 308 ]
Rearranging the ideal gas law equation to solve for n gives
n = (PV / RT)
= { [(1.06 atm) x (23.8 L)] / [(0.08206 L•atm / mol•K) x (308 K)]}
= 0.998 moles acetylene
-----------
That's very nearly 1 mole of acetylene,
hence at STP it would have a volume of 22.4 L .
The calculation shows it, of course :
(0.998 moles) x (22.4 L / 1 mole) = 22.4 L .... [ rounded to 3 significant figures ]