On a separate sheet of paper, solve the following problems. not aqida grizen 1. A cylinder contains 850 mL of gas at a pressure of 130 kPa. A piston compresses the gas until its pressure is 170 kPa. What is the new volume of the gas?

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Chapter 20 Gases
Boyle's Law
A movable piston encloses 0.78 m³ of gas in a cylinder. The piston is then
pushed downward, changing the volume of the gas to 0.36 m³ and the
pressure to 2.8 kPa. What was the original pressure of the gas?
1. Read and Understand
What information are you given?
initial volume of the piston = V₁ = 0.78 m³
final volume of the piston = V₂ = 0.36 m³
final pressure of the piston = P2 = 2.8 kPa
2. Plan and Solve
What unknown are you trying to calculate?
original pressure of the piston = P₁
What mathematical equation can you use to calculate the unknown?
Boyle's law: P₁V₁= P₂V₂
Rearrange the equation to solve for the unknown variable.
P₂V₂
P₁₂₁=
Substitute the values you know into the equation.
(2.8 kPa) (0.36 m³)
0.78 m³
P₁ =
e8 to enolisoit
= 1.3 kPa
of Woled surgit odi
3. Look Back and Check
Is your answer reasonable?
Yes, the final pressure, 2.8 kPa, is about twice the original pressure, 1.3 kPa.
Origirst
grwollo
obsmot
Math Practice
On a separate sheet of paper, solve the following problems.
1900 101
gnizang
1. A cylinder contains 850 mL of gas at a pressure of 130 kPa. A piston
compresses the gas until its pressure is 170 kPa. What is the new volume
of the gas?
Savvas Learning Company LLC. All Rights Reserved.
Transcribed Image Text:Name Chapter 20 Gases Boyle's Law A movable piston encloses 0.78 m³ of gas in a cylinder. The piston is then pushed downward, changing the volume of the gas to 0.36 m³ and the pressure to 2.8 kPa. What was the original pressure of the gas? 1. Read and Understand What information are you given? initial volume of the piston = V₁ = 0.78 m³ final volume of the piston = V₂ = 0.36 m³ final pressure of the piston = P2 = 2.8 kPa 2. Plan and Solve What unknown are you trying to calculate? original pressure of the piston = P₁ What mathematical equation can you use to calculate the unknown? Boyle's law: P₁V₁= P₂V₂ Rearrange the equation to solve for the unknown variable. P₂V₂ P₁₂₁= Substitute the values you know into the equation. (2.8 kPa) (0.36 m³) 0.78 m³ P₁ = e8 to enolisoit = 1.3 kPa of Woled surgit odi 3. Look Back and Check Is your answer reasonable? Yes, the final pressure, 2.8 kPa, is about twice the original pressure, 1.3 kPa. Origirst grwollo obsmot Math Practice On a separate sheet of paper, solve the following problems. 1900 101 gnizang 1. A cylinder contains 850 mL of gas at a pressure of 130 kPa. A piston compresses the gas until its pressure is 170 kPa. What is the new volume of the gas? Savvas Learning Company LLC. All Rights Reserved.
Expert Solution
Step 1: Determine the given variables

Question 1:

Volume, V1 = 850 mL

Pressure, P1 = 130 kPa

Pressure, P2 = 170 kPa

Volume, V2 = ? 

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