A certain anesthetic contains 64.9% C, 13.5% H, and 21.6% O by mass. At 120 degrees C and 750mmHg, 1.00L of the gaseous compound weighs 2.30 grams. What is the molecular formula of the compound?
Can you show me how to set it up
Can you show me how to set it up
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Take a hypothetical sample of 100 grams.
(64.9 g) / (12.0108 g C/mol) = 5.40347021 moles
(13.5 g) / (1.0079 g H/mol) = 13.3941859 moles
(21.6 g) / (15.9994 g O/mol) = 1.35005063 moles
Divide by the smallest number of moles:
5.40347021 / 1.35005063 = 4.00242042
13.3941859 / 1.35005063 = 9.9212471
1.35005063 / 1.35005063 = 1.00000000
Round to the nearest integer to find the empirical formula:
C4H10O
120 °C = 393.15 °K
PV = nRT
n = PV/RT = (750mmHg) (1.00 L) / (62.36367 L mmHg /K mol) (393.15 K) =
0.030589 mole
(2.30 g) / (0.030589 mole) = 75.2 g/mole
The molecular mass of C4H10O is 74.1220 g/mol, so that is the molecular formula as well.
The anesthetic with that formula is diethyl ether.
(64.9 g) / (12.0108 g C/mol) = 5.40347021 moles
(13.5 g) / (1.0079 g H/mol) = 13.3941859 moles
(21.6 g) / (15.9994 g O/mol) = 1.35005063 moles
Divide by the smallest number of moles:
5.40347021 / 1.35005063 = 4.00242042
13.3941859 / 1.35005063 = 9.9212471
1.35005063 / 1.35005063 = 1.00000000
Round to the nearest integer to find the empirical formula:
C4H10O
120 °C = 393.15 °K
PV = nRT
n = PV/RT = (750mmHg) (1.00 L) / (62.36367 L mmHg /K mol) (393.15 K) =
0.030589 mole
(2.30 g) / (0.030589 mole) = 75.2 g/mole
The molecular mass of C4H10O is 74.1220 g/mol, so that is the molecular formula as well.
The anesthetic with that formula is diethyl ether.
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A certain anesthetic contains 64.9% C, 13.5% H, and 21.6% O by mass.
OK, assume as a basis for calculation that you have 1000 g of it
You have 649 g C, 135 g H, 216 g O
Convert to moles
649/12 = 54 mol C, 135 mol H, 13.5 mol O
Double that since 13.5 mol O is ugly
104 mol C 270 mol H 27 mol O
C104H270O27 is your beginning formula
At 120 degrees C and 750mmHg, 1.00L of the gaseous compound weighs 2.30 grams.
THis tells you the molar mass - assume it is an ideal gas, PV = nRT ---> n = PV/RT
Since you know it is 2.3 g, and can find n, you have molar mass.
Tweak the beginning formula, ie, multiply or [more likely] divide each atom's coefficient by the same number to get the same molar mass
OK, assume as a basis for calculation that you have 1000 g of it
You have 649 g C, 135 g H, 216 g O
Convert to moles
649/12 = 54 mol C, 135 mol H, 13.5 mol O
Double that since 13.5 mol O is ugly
104 mol C 270 mol H 27 mol O
C104H270O27 is your beginning formula
At 120 degrees C and 750mmHg, 1.00L of the gaseous compound weighs 2.30 grams.
THis tells you the molar mass - assume it is an ideal gas, PV = nRT ---> n = PV/RT
Since you know it is 2.3 g, and can find n, you have molar mass.
Tweak the beginning formula, ie, multiply or [more likely] divide each atom's coefficient by the same number to get the same molar mass