12) Determine the number of moles contained in each of the following gas systems: a. 1.25 L of O₂ at 1.06 atm and 250. K PV=ART P=106 atm T=250.k (1.06 atm x 1,25 L) n = PV V=1.252 0.0821 Latm mol KX 250 K = .0646 moles =0.06455542.0646 moles) b. 0.80 L of ammonia gas (NH3) at 0.925 atm and 27°C 030 moles925 atm x 0,80L) RT 14.940 15884 (14.92) R=0.08212. atm molk V=0.80L P=0,925atm T-27°C = 27+2 73.15=300.15 0.08211atm. mol K x 300.15K = 0.030029646030 Mole PV=ART n = PV RT

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ChapterU3: Weather: Phase Changes And Behaviour Of Gases
Section: Chapter Questions
Problem 15STP
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Can you help me with the number 12 question? Can you explain step by step including the formula (Ideal Gas Law)? I need to plug in the fraction to give the correct answer.
Initial Pressure (P₁) = 12 atm
Initial volume (V₁) = 234
Initial temperenture (T₁) = 2500.0
Use the combined gas law to solve the following problems:
8) If I initially have a gas at a pressure if 12 atm, a volume of 23 liters, and a temperature of 200.0 K, and
then I raise the pressure to 14 atm and increase the temperature to 300.0 K, what is the new volume of the
V.P, MI
gas?
V₂= Pivita
тра
atm x 23LX3000K
Pava
Fa
30. L
(14 atm x 200.0k).
T₁
29/57142857
30.4
9) A gas takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature of 299 K. If I raise the
va-Pivita
T. Pa
temperature to 350 K and lower the pressure to 1.5 atm, what is the new volume of the gas?
volume = 172
initial pressure (P) = 2.3atm Final Pressure (Pa) = 1.5 atm
initial temperature (T) 299K
Final temperature (12) = 350 K
30.5128205 L
Final Pressure (Pa): 14atm
Final volume (Va) - 300K
Initial temperature (1₂)
P.V₁ - Pa Va
Та
31 L
√₂=RK x JB
PiVita - 3 atm) (174) X(350K)
Рахті
(2991)
(1,Satm)
Pa v₂=
Ideal Gas Law
39.4 L
10) Calculate the pressure, in atmospheres, exerted by each of the following:
a. 250 L of gas containing 1.35 moles at 320 K. Pynrt R=0.0821 fatm mo'k!
mole n = 1.35 mole Temperature (1): 320k P = nr I
volume v= 250L Pressure (1):
.14 atm
P=nrt
b. 4.75 L of gas containing 0.86 moles at 300, K.
volume (v): 4.75L mole:0.86 Molec
Temperature 300k Pressure:
P= 4.459 atm
4.5 atm
V=4.75L
n=0.86mok, R=0.082 Latmma1 / 14.5 atm)
T= 300k
11) Calculate the volume, in liters, occupied by each of the following:
a. 2.00 moles of H₂ at 300. K and 1.25 atm.
4
2.00mde X 0.0821 Latm mol K x 300k
1.25atm
b. 0.425 moles of ammonia gas (NH3) at 0.724 atm and 37°C
PV=nRT, V = nRÌ_n=0.425 mole
atm
12=
Va= 312
P=0.14 atm
= 0.86m 1X0.082 | Latm mol k X300K
4.75 La
= 1.35 mol x 0.082 1 atm mol K²X 320k
250L
RT
PV=nRT
n=
V=MRI
= 39.408
39.42
T-376-37+273 k= 310k
14.9 L 0.425 mole (NH3) X 0.0821 Latm mol¹k'x (273+37)k.
a. 1.25 L of O₂ at 1.06 atm and 250. K PV=ART
(1.06 atm x 1,25 L)
n = PV
0.0821 Latm mot klx 250 K=1
.0646 moles
-0.06455542.0646 moles
b. 0.80 L of ammonia gas (NH3) at 0.925 atm and 27°C V0.80L
030 moles, 25 atm x 0.80L)
P=125atm
に
T= 300.K
6.724 atm
12) Determine the number of moles contained in each of the following gas systems:
P=106 atm T=250.k
V=1.252
1=2,00lmole
R=0.082(a+mk mol's
7
14.940 15884
(14.92)
R=0.08212. atm molk
P=0,925 atm
T=27°C= 21+ 273.15=300.15
0.08211atm. mol" K'x 300.15K = 0.030029646030 Mole
PV = nRT
n = PV
RT
Transcribed Image Text:Initial Pressure (P₁) = 12 atm Initial volume (V₁) = 234 Initial temperenture (T₁) = 2500.0 Use the combined gas law to solve the following problems: 8) If I initially have a gas at a pressure if 12 atm, a volume of 23 liters, and a temperature of 200.0 K, and then I raise the pressure to 14 atm and increase the temperature to 300.0 K, what is the new volume of the V.P, MI gas? V₂= Pivita тра atm x 23LX3000K Pava Fa 30. L (14 atm x 200.0k). T₁ 29/57142857 30.4 9) A gas takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature of 299 K. If I raise the va-Pivita T. Pa temperature to 350 K and lower the pressure to 1.5 atm, what is the new volume of the gas? volume = 172 initial pressure (P) = 2.3atm Final Pressure (Pa) = 1.5 atm initial temperature (T) 299K Final temperature (12) = 350 K 30.5128205 L Final Pressure (Pa): 14atm Final volume (Va) - 300K Initial temperature (1₂) P.V₁ - Pa Va Та 31 L √₂=RK x JB PiVita - 3 atm) (174) X(350K) Рахті (2991) (1,Satm) Pa v₂= Ideal Gas Law 39.4 L 10) Calculate the pressure, in atmospheres, exerted by each of the following: a. 250 L of gas containing 1.35 moles at 320 K. Pynrt R=0.0821 fatm mo'k! mole n = 1.35 mole Temperature (1): 320k P = nr I volume v= 250L Pressure (1): .14 atm P=nrt b. 4.75 L of gas containing 0.86 moles at 300, K. volume (v): 4.75L mole:0.86 Molec Temperature 300k Pressure: P= 4.459 atm 4.5 atm V=4.75L n=0.86mok, R=0.082 Latmma1 / 14.5 atm) T= 300k 11) Calculate the volume, in liters, occupied by each of the following: a. 2.00 moles of H₂ at 300. K and 1.25 atm. 4 2.00mde X 0.0821 Latm mol K x 300k 1.25atm b. 0.425 moles of ammonia gas (NH3) at 0.724 atm and 37°C PV=nRT, V = nRÌ_n=0.425 mole atm 12= Va= 312 P=0.14 atm = 0.86m 1X0.082 | Latm mol k X300K 4.75 La = 1.35 mol x 0.082 1 atm mol K²X 320k 250L RT PV=nRT n= V=MRI = 39.408 39.42 T-376-37+273 k= 310k 14.9 L 0.425 mole (NH3) X 0.0821 Latm mol¹k'x (273+37)k. a. 1.25 L of O₂ at 1.06 atm and 250. K PV=ART (1.06 atm x 1,25 L) n = PV 0.0821 Latm mot klx 250 K=1 .0646 moles -0.06455542.0646 moles b. 0.80 L of ammonia gas (NH3) at 0.925 atm and 27°C V0.80L 030 moles, 25 atm x 0.80L) P=125atm に T= 300.K 6.724 atm 12) Determine the number of moles contained in each of the following gas systems: P=106 atm T=250.k V=1.252 1=2,00lmole R=0.082(a+mk mol's 7 14.940 15884 (14.92) R=0.08212. atm molk P=0,925 atm T=27°C= 21+ 273.15=300.15 0.08211atm. mol" K'x 300.15K = 0.030029646030 Mole PV = nRT n = PV RT
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