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Chapter 11 notes
ch 11 (chem 1)
25
Chemistry
Undergraduate 1
04/25/2010

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Cards

Term
1atm is equal to how many mmHg and how much torr?
Definition
1atm = 760mmHg = 760 torr
Term
If a bicycle tire has a pressure of 72psi how many atmospheres would this be? (1atm = 14.7psi)
Definition
72psi x (1atm/14.7psi) = 4.9atm
Term
The atmospheric pressure in San Fransisco on a certain day was 732mmHg. What was the pressure in kPa? (1atm = 1.01325 x 105Pa) (1000Pa = 1kPa)
Definition

732mmHg x (1atm/760mmHg) x (1.01325 x 105Pa/1atm) = 9.76 x 104Pa

9.76 x 104Pa x (1kPa/1000Pa) = 97.6kPa

Term
Boyle's Law
Definition

P α (1/v)

PV = constant

P1V1 = P2V2

P↑V↓

Term
A sample of chlorine gas occupies a volume of 946mL at a pressure of 726mmHg. What is the pressure of the gas (in mmHg) if the volume is reduced at constant temperature to 154mL?
Definition

P1V1 = P2V2

P1 = 726mmHg

V1 = 946mL

P2 = ?

V2 = 154mL

 

P2 = (P1V1/V2)

P2 = (726mmHg)(946mL)/(154mL)

P2 = 4460mmHg

Term
Charles' law
Definition

V α T

V = constant x T

V1/T1 = V2/T2

T↓V↓

Term
A sample of carbon monoxide gas occupie 3.20L at 125oC. At what temperature will the gas occupy a volume of 1.54L if the pressure remains constant?
Definition

V1/T1 = V2/T2

V1 = 3.20L

T1 = 125oC + 273 = 398K

V2 = 1.54L

T2 = ?

 

T2 = (V2)(T1)/(V1)

T2 = (1.54L)(398K)/(3.20L)

T2 = 192K

Term
Gay-Lussac's Law
Definition

P α T

P = constant x T

P1/T1 = P2/T2

Term
An aerosol can has pressure of 1.4atm at 25oC. What pressure would it attain at 1200oC, assuming the volume remained constant?
Definition

P1/T1 = P2/T2

P2 = (P1V2)/(T1)

 

P2 = (1.4atm)(1473L)/(298K)

P2 = 6.9atm

Term
Combined Gas Law
Definition
P1V1/T1 = P2V2/T2
Term
A sample of carbon dioxide occupies 4.5L at 30oC and 650mmHg. What volume would it occupy at 800mmHg and 200oC?
Definition

P1V1/T1 = P2V2/T2

P1 = 650mmHg

V1 = 4.5L

T1 = 30oC +273 = 303K

P2 = 800mmHg

V2 = ?

T2 = 200oC + 273 = 473K

 

V2 = (P1V1T2)/(P2T1)

V2 = (650mmHg)(4.5L)(473K)/(800mmHg)(303K)

V2 = 5.7L

Term
Avagadro's Law
Definition

V α number of moles (n)

V = constant x n

V1/n1 = V2/n2

Term

At constant temperature and pressure, 16L of N2 and 48L of H2 are mixed. Assuming all the reactants are consumed, how many liters of NH3 will be produced?

 

N2(g) + 3H2(g) --> 2NH3(g)

Definition

1 mol N2 + 3 mol H2 --> 2mol NH3

16L N2 + 48L --> 32L NH3

or

16L N2 x (2L NH3/1L N2) = 32L NH3

Term
The Ideal Gas Law
Definition

V α (nT/P)

V = constant x (nT/P)

V = R (nT/P)

R = gas constant

PV = nRT

Term
STP of R
Definition
0.0821 (L atm/mol K)
Term
What is the volume (in liters) occupied by 49.8g of HCl at STP? (HCl = 36.45g/mol)
Definition

PV = nRT

P = 1atm

V = ?

n = 49.8g HCl x (1mol HCl/36.45g) = 1.37mol

R = 0.0821 (L atm/mol K)

T = 273K

 

V = nRT/P

V = (1.37mol)(0.0821L atm/mol K)(273K)/(1atm)

V = 30.6L

Term

What is the temperature, in Kelvins, at which 15.0g O2 will exert a pressure of 785torr in a volume of 5.00L?

(O2 = 32.0g/mol)

Definition

PV = nRT

P = 785torr x (1atm/760torr)

V = 5.00L

n = 15g O2 x (1mol/32g) = 0.469mol

R = 0.0821 (L atm/mol K)

T = ?

 

T = PV/nR

T = (785/760atm)(5.00L)/(0.469mol)(0.0821L atm/mol K)

T = 134K

Term
A sample of flourine gas has a volume of 5.80L at 150.0oC and 10.5atm of pressure. How many moles of flourine gas are present?
Definition

PV = nRT

P = 10.5atm

V = 5.80L

n = ?

R = 0.0821 (L atm/mol K)

T = 423K

 

n = PV/RT

n = (10.5atm)(5.80L)/(0.0821L atm/mol K)(423K)

n = 1.75mol

Term
What is the density in g/L of UF6 at 779mmHg and 62oC? (UF6 = 352g/mol)
Definition

d = PM/RT

d = (779/760atm)(352g/mol)/(0.0821L atm/mol K)(335K)

d = 13.1g/L

Term
A 2.10L vessel contains 4.65g of a gas at 1.00atm and 27.0oC. What is the molar mass of the gas?
Definition

M = dRT/P

d = m/v

d = 4.65g/2.101L = 2.21g/L

 

M = (2.21g/L)(0.0821L atm/mol K)(300K)/(1atm)

M = 54.5g/mol

Term

What is the volume of CO2 produced at 37oC and 1.00atm when 5.60g of glucose are used up in the reaction:

C6H12O6(s) + 6O2(g) --> 6CO2(g) + 6H2O(l)

(C6H12O6 = 180g/mol)

Definition

gC6H12O6 --> mol C6H12O6 --> mol CO2 --> V CO2

5.6g C6H12O6 x (1mol C6H12O6/180g) x (6mol CO2/1mol C6H12O6) = 0.187mol CO2

 

PV = nRT

V = nRT/P

V = (0.187mol)(0.821L atm/mol K)(310K)/(1atm)

V = 4.76L

Term

Airbags fill with N2 gas in an accident. The gas is generated by the decomposition of sodium azide. How many grams of sodium azide, NaN3, would be required to provide 75.0L of N2 gas at 35.0oC and 748mmHg

 

6NaN3(s) + Fe2O3(s) --> 3Na2O(s) + 2Fe(s) + 9N2(g)

(NaN3 = 65.01g/mol)

 

Definition

mol N2 --> mol NaN3 --> g NaN3

PV = nRT

n = PV/RT

n = (748/760atm)(75L)/(0.821L atm/mol K)(298K)

n = 3.02mol N2

3.02mol N2 x (6mol NaN3/9mol N2) x (65.01g NaN3/1mol) = 131g NaN3

Term
What is partial pressure?
Definition
the pressure exerted by a particular gas in a mixture of gases
Term
What is Dalton's Law?
Definition
the total pressure of a mixture of gasses in the sum of the pressures that each gas would exert if it were present alone
Term
A sample of natural gas contains 8.24 moles of CH4, 0.421 moles of C2H6, and 0.116 moles of C3H8. If the total pressure of the gases is 1.37atm, what is the partial pressure of propane (C3H8)?
Definition

PC3H8 = XC3H8 PT

XC3H8 = (0.116mol)/(8.24mol) + (0.421mol) + (0.116mol) = 0.0132

PC3H8 = (0.0132)(1.37atm)

PC3H8 = 0.0181atm

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