Charles's Law (temperature, volume) 86°C. 1) A 550.0 mL sample of nitrogen gas is warmed from 77 °C to 86 °C. Find its new volume if the pressure remains constant. = constant V₁ = V₂ T Ti Ta V₂=V₁ T₂ = (550.0 ML) x (359) - (564 m²) 350K T₁ 564 ml (273.15k

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
100%

Can you help me with number 1? Was this the correct answer that shows my work includes the significant figures? Also, can you help me with Charle's law formula to plug in?

Charles's Law (temperature, volume)
1) A 550.0 mL sample of nitrogen gas is warmed from 77 °C to 86 °C.
remains constant.
C to 86 °C.
V₂ = V₁ T₂ = (550.0 ML) X
350k
T₁
564 ml
--та
2.22 L
K=c't273.15
V₁ = 550.0mL
T₁ = 77°C = 17+273) k
T₁ = 350 k
Gas Laws Worksheet T₂-86°C = 86 +273) K= 359k
(564 m²
2) A gas occupies 1.00 L at 0.00°C. What is the volume at 333.0 °C? 2 = 333.0°C (333.0+273.15k)-
V₂
Vi
7₁ V₂ =V₁ Ta
TI
Ta
t₁ = 0,00° C = (0.00+ 273.15 k) = 273.15k
2.219110379
V2= V₁T₂
1
=(1.00L) x(606.15k)
(273.15K)
= 2.222
"Patta Pa
Va
V₂=564mL
26.6 L
760.0 mm Hgx 14.0L = 26.6L)
400.0 mm Hg
Boyle's Law (pressure, volume)
3) Convert 338 L at 63.0 atm to its new volume at 1.00 atm.
Pr=nrt constant P₁V₁ = P₂ V₂, P₁.V₁
21300 L
or 2.13 x 104 L
Və
2.12:24x10
V₂ = P₁V₁ -(63.0 atm) x (3384) = 2.13 X 10 L
1.00 atm
x (359x)
7.549+m
こ
T
P₁ = 63.0 atm Pa = 1.00 atm,
V2 = 2.13x10 "L
V₁ = 338 L
4) A tank of nitrogen has a volume of 14.0 L and a pressure of 760.0 mm Hg. Find the volume of nitrogen
when its pressure is changed to 400.0 torr while the temperature is held constant.
P₁x V₁ = P₂xV₂ P₁V₁ = P₂ V₂ V₂₂ = P₁ V₁ Initial volume nitrogen (V₁) = 14.0L
Pa
Find its new volume if the pressure
= constant V₁ = V₂
Ti Ta
1.00 atm x 196.0L
26.04
= P, V,
Va
Pressure (P2) = 400.0 torr.
1 torr=1mm Hg 400.0 Jorr = 400.0mm Hg
5) What pressure (mm Hg) is required to compress 196.0 liters of air at 1.00 atmosphere into a cylinder
whose volume is 26.0 liters?
P₁V₁= P₂ V₂
V₁196.02
latm=760mm Hg P₂ = P₁V₁
5730 mmHg
Va
1₁-19 atm
V2=26.04
12=5730 mm Hg
Initial pressure nitrogen (P₁)=760.0mm Hg
Final volume (V₂)
760mm Hg
Tatm
=(5730 mm Hg
Gay-Lussac's Law (temperature, pressure)
6) A gas has a pressure if 0.0370 atm at 50.0 °C. What is the pressure at 0.00 °C?
P₁ - Pa
Pa = P₁ T₂
0.031275104
T₁ T2
T₁
0.0370 atm x 273.15K
323.15 K
.0313 atm
Pa T₂ = P₂-T₂ P₁ Pressure (Pi) = 0.0370 atm
Pa
= 7.54 atm
273,15k
L
= 0.0313 atm
Temp (Ti) = 50.0°C
(S0 + 273.15) K = 323.15K P2= 0.0313 atm
Tx
7) If a gas in a closed container, with an original temperature of 25.0 °C, is pressurized from 15.0
atmospheres to 16.0 atmospheres, what would the final temperature of the gas be?
T₁=372 25+273,15K=298,15K
Initial temp = 25c
Ta=0.00 L=0.00+ 273.15k = 273.15
318 K
Initial pressure (₁) = 15.0 atm
atm
K = C²7273,15 K 16.00 gtm x 2.98.15K - 318 K). Final pressure (P2) = 16.0
Final temperature (1₂)
T₂= Parti
15.0 atm
Ta= T₁
ра Pi
318.0266667
Transcribed Image Text:Charles's Law (temperature, volume) 1) A 550.0 mL sample of nitrogen gas is warmed from 77 °C to 86 °C. remains constant. C to 86 °C. V₂ = V₁ T₂ = (550.0 ML) X 350k T₁ 564 ml --та 2.22 L K=c't273.15 V₁ = 550.0mL T₁ = 77°C = 17+273) k T₁ = 350 k Gas Laws Worksheet T₂-86°C = 86 +273) K= 359k (564 m² 2) A gas occupies 1.00 L at 0.00°C. What is the volume at 333.0 °C? 2 = 333.0°C (333.0+273.15k)- V₂ Vi 7₁ V₂ =V₁ Ta TI Ta t₁ = 0,00° C = (0.00+ 273.15 k) = 273.15k 2.219110379 V2= V₁T₂ 1 =(1.00L) x(606.15k) (273.15K) = 2.222 "Patta Pa Va V₂=564mL 26.6 L 760.0 mm Hgx 14.0L = 26.6L) 400.0 mm Hg Boyle's Law (pressure, volume) 3) Convert 338 L at 63.0 atm to its new volume at 1.00 atm. Pr=nrt constant P₁V₁ = P₂ V₂, P₁.V₁ 21300 L or 2.13 x 104 L Və 2.12:24x10 V₂ = P₁V₁ -(63.0 atm) x (3384) = 2.13 X 10 L 1.00 atm x (359x) 7.549+m こ T P₁ = 63.0 atm Pa = 1.00 atm, V2 = 2.13x10 "L V₁ = 338 L 4) A tank of nitrogen has a volume of 14.0 L and a pressure of 760.0 mm Hg. Find the volume of nitrogen when its pressure is changed to 400.0 torr while the temperature is held constant. P₁x V₁ = P₂xV₂ P₁V₁ = P₂ V₂ V₂₂ = P₁ V₁ Initial volume nitrogen (V₁) = 14.0L Pa Find its new volume if the pressure = constant V₁ = V₂ Ti Ta 1.00 atm x 196.0L 26.04 = P, V, Va Pressure (P2) = 400.0 torr. 1 torr=1mm Hg 400.0 Jorr = 400.0mm Hg 5) What pressure (mm Hg) is required to compress 196.0 liters of air at 1.00 atmosphere into a cylinder whose volume is 26.0 liters? P₁V₁= P₂ V₂ V₁196.02 latm=760mm Hg P₂ = P₁V₁ 5730 mmHg Va 1₁-19 atm V2=26.04 12=5730 mm Hg Initial pressure nitrogen (P₁)=760.0mm Hg Final volume (V₂) 760mm Hg Tatm =(5730 mm Hg Gay-Lussac's Law (temperature, pressure) 6) A gas has a pressure if 0.0370 atm at 50.0 °C. What is the pressure at 0.00 °C? P₁ - Pa Pa = P₁ T₂ 0.031275104 T₁ T2 T₁ 0.0370 atm x 273.15K 323.15 K .0313 atm Pa T₂ = P₂-T₂ P₁ Pressure (Pi) = 0.0370 atm Pa = 7.54 atm 273,15k L = 0.0313 atm Temp (Ti) = 50.0°C (S0 + 273.15) K = 323.15K P2= 0.0313 atm Tx 7) If a gas in a closed container, with an original temperature of 25.0 °C, is pressurized from 15.0 atmospheres to 16.0 atmospheres, what would the final temperature of the gas be? T₁=372 25+273,15K=298,15K Initial temp = 25c Ta=0.00 L=0.00+ 273.15k = 273.15 318 K Initial pressure (₁) = 15.0 atm atm K = C²7273,15 K 16.00 gtm x 2.98.15K - 318 K). Final pressure (P2) = 16.0 Final temperature (1₂) T₂= Parti 15.0 atm Ta= T₁ ра Pi 318.0266667
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Mole Concept
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY