STP Gas Calculations One-step problems: A balloon is filled with 3.78 L of He gas at STP. How many...

STP Gas CalculationsSTP Gas CalculationsOne-step problems:One-step problems:

A balloon is filled with 3.78 L of A balloon is filled with 3.78 L of He gas at STP. How many He gas at STP. How many moles of helium atoms are moles of helium atoms are inside?inside?

HeHe

Solution:Solution:

3.78 L He3.78 L He22.4 L22.4 L1 mol1 mol

= 0.169 mol He= 0.169 mol He


A balloon is filled with 5.99 moles A balloon is filled with 5.99 moles of CHof CH44 gas at STP. What is the gas at STP. What is the

volume of the balloon in liters?volume of the balloon in liters?CHCH44

Solution:Solution:

5.99 mol CH5.99 mol CH4422.4 L22.4 L1 mol1 mol = 134 L CH= 134 L CH44


A balloon is filled with 36.2 liters A balloon is filled with 36.2 liters of Clof Cl22 gas at STP. How many gas at STP. How many

moles of chlorine gas are inside?moles of chlorine gas are inside?

Solution:Solution:

36.2 L Cl36.2 L Cl22 22.4 L22.4 L1 mol1 mol

= 1.62 mol Cl= 1.62 mol Cl22

ClCl22


A balloon is filled with 0.333 mol A balloon is filled with 0.333 mol of Xe gas at STP. What is the of Xe gas at STP. What is the liter volume of xenon in the liter volume of xenon in the balloon?balloon?

Solution:Solution:

0.333 mol Xe0.333 mol Xe 22.4 L22.4 L1 mol1 mol = 7.46 L Xe= 7.46 L Xe

XeXe


A balloon is filled with argon gas A balloon is filled with argon gas at STP. What is the density of at STP. What is the density of the gas in the balloon?the gas in the balloon?

Solution:

39.948 g Ar39.948 g Ar22.4 L22.4 L1 mol1 mol

= 1.78 g/L Ar= 1.78 g/L Ar

ArAr

1 mol1 mol


A balloon is filled with an A balloon is filled with an unidentified gas at STP. If its unidentified gas at STP. If its density is 2.35 g/L, what is the density is 2.35 g/L, what is the molar mass of this gas?molar mass of this gas?

Solution:Solution:

2.35 g gas2.35 g gas 22.4 L22.4 L1 mol1 mol = 52.6 g/mol= 52.6 g/mol

??

1 L1 L


A balloon is filled with acetylene A balloon is filled with acetylene gas at STP. What is the density gas at STP. What is the density of the gas in the balloon?of the gas in the balloon?

Solution:Solution:

26.038 g C26.038 g C22HH22

22.4 L22.4 L1 mol1 mol

= 1.16 g/L = 1.16 g/L CC22HH22

CC22HH22

1 mol1 mol


A balloon is filled with a A balloon is filled with a diatomic gas at STP. If its diatomic gas at STP. If its density is 0.0900 g/L, what is density is 0.0900 g/L, what is the molar mass of this gas?the molar mass of this gas?

Solution:Solution:

0.0900 g gas0.0900 g gas 22.4 L22.4 L1 mol1 mol = 2.02 g/mol= 2.02 g/mol

??

1 L1 L

What is the identity of this diatomic gas?What is the identity of this diatomic gas?

Hydrogen HHydrogen H22

STP Gas CalculationsSTP Gas CalculationsTwo-step problems:Two-step problems:

A balloon is filled with 300. liters of A balloon is filled with 300. liters of helium gas at STP. What is the helium gas at STP. What is the mass in grams of this gas?mass in grams of this gas?

Solution:Solution:

300. L He300. L He22.4 L22.4 L

1 mol1 mol= 53.6 g He= 53.6 g He

HeHe

MassMass(g)(g)

molemoleGasGasVolVol

1 mol1 mol4.0026 g He4.0026 g He


A balloon is filled with 122 grams of A balloon is filled with 122 grams of nitrogen gas at STP. What is the nitrogen gas at STP. What is the volume in liters of this balloon?volume in liters of this balloon?

Solution:Solution:

122 g N122 g N22 28.0134 g N28.0134 g N22

1 mol1 mol= 97.6 L N= 97.6 L N22

NN22

MassMass(g)(g)

molemole GasGasVolVol

1 mol1 mol22.4 L22.4 L


A balloon is filled with 487 liters of A balloon is filled with 487 liters of hydrogen gas at STP. What is the hydrogen gas at STP. What is the mass in grams of this gas?mass in grams of this gas?

Solution:Solution:

487 L H487 L H2222.4 L22.4 L

1 mol1 mol= 43.8 g H= 43.8 g H22

MassMass(g)(g)


1 mol1 mol

2.01588 g H2.01588 g H22

HH22


A balloon is filled with 349 grams of A balloon is filled with 349 grams of neon gas at STP. What is the neon gas at STP. What is the volume in liters of this balloon?volume in liters of this balloon?

Solution:Solution:

349 g Ne349 g Ne20.1797 g Ne20.1797 g Ne

1 mol1 mol= 387 L Ne= 387 L Ne

NeNeMassMass

(g)(g)molemole GasGas

VolVol

1 mol1 mol22.4 L22.4 L


Several balloons are filled with 8250 Several balloons are filled with 8250 total liters of helium gas at STP. How total liters of helium gas at STP. How many total atoms of helium are many total atoms of helium are contained in all of the balloons?contained in all of the balloons?

Solution:Solution:

8250 L He8250 L He22.4 L22.4 L

1 mol1 mol= 2.22x10= 2.22x102626 atomsatoms

AtomsAtomsmolemoleGasGasVolVol

1 mol1 mol

6.02x106.02x102323 atoms atoms


A balloon in the shape of Darth Vader’s A balloon in the shape of Darth Vader’s head is filled with 8.0x10head is filled with 8.0x102828 molecules of molecules of nitrogen gas at STP. What is the nitrogen gas at STP. What is the volume in liters of this balloon?volume in liters of this balloon?

Solution:Solution:

8.0x108.0x1028 28 molecmolec..6.02x106.02x1023 23 molec.molec.

1 mol1 mol= = 3.0x103.0x1066 L N L N22

MoleculesMolecules molemole GasGasVolVol

1 mol1 mol22.4 L22.4 L


A sleeping balloon is filled A sleeping balloon is filled with 2.75 liters of carbon with 2.75 liters of carbon dioxide gas at STP. How dioxide gas at STP. How many molecules are many molecules are contained the balloon?contained the balloon?

Solution:Solution:

2.75 L CO2.75 L CO2222.4 L22.4 L

1 mol1 mol= 7.39x10= 7.39x102222 moleculesmolecules

MoleculesMoleculesmolemoleGasGasVolVol

1 mol1 mol

6.02x106.02x102323 moleculesmolecules


A large yellow ducky balloon is A large yellow ducky balloon is filled with 2.5x10filled with 2.5x1066 liters of air at liters of air at STP. What is the mass in grams of STP. What is the mass in grams of the air if the average molar mass is the air if the average molar mass is 29 g/mol?29 g/mol?

Solution:Solution:

2.5x102.5x1066 L air L air22.4 L22.4 L

1 mol1 mol= 3.24x10= 3.24x1066 g air g air

MassMass(g)(g)


1 mol1 mol

29 g air29 g air


The Goodyear Blimp is The Goodyear Blimp is filled with 5.74x10filled with 5.74x1066 liters liters of He at STP. What is of He at STP. What is the mass in grams of the mass in grams of this much He?this much He?

Solution:Solution:

5.74x105.74x1066 L He L He22.4 L22.4 L

1 mol1 mol= 1.03x10= 1.03x1066 g He g He

MassMass(g)(g)


1 mol1 mol

4.0026 g He4.0026 g He


If the balloon at the left were filled with If the balloon at the left were filled with 4.5x104.5x102828 molecules of methane gas at molecules of methane gas at STP instead of air, what would be the STP instead of air, what would be the volume in liters?volume in liters?

Solution:Solution:

4.5x104.5x1028 28 molecmolec..6.02x106.02x1023 23 molec.molec.

1 mol1 mol= = 1.7x101.7x1066 L CH L CH44

MoleculesMolecules molemole GasGasVolVol

1 mol1 mol22.4 L22.4 L

This sort of gives new meaning to the term This sort of gives new meaning to the term “air head” doesn’t it?“air head” doesn’t it?


If this flying cow balloon If this flying cow balloon was filled with sulfur was filled with sulfur dioxide gas at STP instead dioxide gas at STP instead of hot air, what would it’s of hot air, what would it’s density be?density be?

Solution:Solution:

64.064 g SO64.064 g SO22

22.4 L22.4 L1 mol1 mol

= 2.86 g/L = 2.86 g/L SOSO221 mol1 mol


If these balloons are filled with If these balloons are filled with gas at STP and their density is gas at STP and their density is 1.85 g/L, what is the molar 1.85 g/L, what is the molar mass of this gas?mass of this gas?

Solution:Solution:

1.85 g gas1.85 g gas 22.4 L22.4 L1 mol1 mol = 41.4 g/mol= 41.4 g/mol 1 L1 L


If this girl inhales all of the If this girl inhales all of the helium from this balloon that helium from this balloon that has a volume of 1.25 liters at has a volume of 1.25 liters at STP, how many atoms does STP, how many atoms does she inhale?she inhale?

Solution:Solution:

1.25 L CO1.25 L CO2222.4 L22.4 L

1 mol1 mol= 3.36x10= 3.36x102222 atoms of Heatoms of He

MoleculesMoleculesmolemoleGasGasVolVol

1 mol1 mol

6.02x106.02x102323 moleculesmolecules


Solution:Solution:

4.0 L CO4.0 L CO2222.4 L22.4 L

1 mol1 mol= 7.86 g CO= 7.86 g CO22

MassMass(g)(g)


1 mol1 mol

44.010 g CO44.010 g CO22

If this girl’s balloon is filled If this girl’s balloon is filled with 4.0 liters of COwith 4.0 liters of CO22 gas at gas at

STP and someone popped STP and someone popped it with a pin, what mass in it with a pin, what mass in grams would be released?grams would be released?

STP Gas Calculations One-step problems: A balloon is filled with 3.78 L of He gas at STP. How many...

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