### GASES: Interconverting Pressure and Force#### Problem Statement:A cylinder measuring 8.5 cm wide and 10 cm high is filled with gas. The piston is pushed down with a steady force measured to be 15. N.#### Task:Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits.**Graphical Representation:**- **Gas Cylinder Diagram:** - There is a labeled diagram of a gas cylinder with a piston on top. - The cylinder is filled with gas. - The labels indicate the "piston" and the "cylinder". **Answer Box:**- An input box is provided for the answer with units in "kPa".**Interactive Tools:**- A panel is provided to assist with the answer submission, featuring options to mark the answer in scientific notation, clear the input, and revert the entry.#### Solution Steps:1. Calculate the area of the piston (top of the cylinder) using the diameter (8.5 cm).2. Use the force applied (15 N) and the area calculated to determine the pressure.3. Convert the pressure result into kilopascals.4. Ensure the final answer is rounded to 2 significant digits.Note: Remember to use appropriate unit conversions, where necessary, for consistency in units.###### Formulae:- **Area of Cylinder Piston (A):** $ \text{A} = \pi \left(\frac{d}{2}\right)^2 $- **Pressure (P):** $ \text{P} = \frac{\text{Force}}{\text{Area}} $- **Conversion to kPa:** 1 Pa = 1 N/m² and 1 kPa = 1000 PaThis page provides a practical example of calculating pressure from force and area, incorporating the principles of gases in a closed system.

Answered: Image /qna-images/answer/74f8a5cb-53d5-424c-a6fc-c59ff9216ee8.jpg

A cylinder measuring 8.5 cm wide and 10. cm high is filled with gas. The piston is pushed down with a steady force measured to be 15. N. piston cylinder gas Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits.

A cylinder measuring 8.5 cm wide and 10. cm high is filled with gas. The piston is pushed down with a steady force measured to be 15. N. piston cylinder gas Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: You have an 18-carat gold coin (an alloy of gold and copper). Its mass is 6 grams. Using the fact…

A: Given: Mass of gold coin =6 grams Density of pure gold =19300 kg /m3 Density of copper =8960 kg /m3

Q: The formula for the volume of a cube is y = L³. The side length of a cube is increased by 14.9%.…

Q: Efficiency of the European car in MPG = Which is more efficient? E A (circle the…

A: Given data: The gas taken by European car is: 7.2 L We know that, 1 MPG = 0.425 km/L The calculation…

Q: Which gas or gases are present in the unknown mixture?

A: Required :: Which gases are present in the mixture.

Q: зро 2PO Po 5: 6: Vo 2V 3Vo V

A: For an isobaric process(constant Pressure), the work during the expansion and compression of the gas…

Q: Assuming the gas molecules can be approximated as small spheres of diameter 2.5x100 m, determine the…

Q: Question 31 of 35 Determine the number of atoms in 57.0 grams of sulfur, S. (The mass of one mole of…

A: No of atoms in one mile of any element/compound is equal to avagadro number = 6.022×1023.

Q: If you car averages 22.07 miles per gallon, how many miles would you expect to drive on 13.243…

A: Given value--- car averages 22.07 miles per gallon We have to find--- how many miles would you…

Q: A constant pressure process with 0.605 lbm of air and a starting temperature of 98°F has a change in…

A: Given that:Mass of air: M=0.605 lbmInitial temperature, T1=98°FNow: C5=F-329C5=98-329C=36.6° Cin…

Q: alculate the work W done by the gas during process 1-2 xpress your answer in terms of po and V-

A: Given At point 1 :: pressure ,3po Volume , Vo At point 2 ::…

Q: Using a waste factor of 8 percent, determine the number of cubic yards of concrete needed to pour…

Q: Gas with volume of 5 L (litre) and under pressure 10 kPa, is subjected to isothermal transformation.…

A: Given:- P1= 10 kPa V1 = 5 L V2 = 15 L

Q: a=6πb/q√17 relating the variables a, b and q.

A: solutionGiven : a=6πbq17--1Given condition←'b' is held constant and 'q' is varied and 'a' is…

Q: 3. An ideal gas has a pressure of 3.00 atm , a volume of 4.50m’, and a temperature of 460K . а. How…

A: Introduction: Behavior of gas molecule is quite complicated. The clear description of the gas…

Q: Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas.…

Q: Hemoglobin has a molecular mass of 64 500 u. Find the mass (in kg) of 598 molecules of hemoglobin.…

A: The objective of the question is to find the mass of 598 molecules of hemoglobin in kilograms.…

Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

Q: IP A gas has a temperature of 310 K and a pressure of 102 kPa Part A Find the volume occupied by…

Q: Supposed you put a 2 liter soda bottle in the refrigerator. Assuming the soda has the same density…

A: Here, mass of the soda can be calculated by the formulla . Density = mass/ volume. ...............…

Q: Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas.…

Q: Part A What is the total translational kinetic energy of the air in an empty room that has…

A: Kinetic energy.

Q: N2 gas in a container is contracted by one third of the original volume to a total of 12 dm3…

A: Given data: Process is isothermal in nature. Initial Pressure of N2 (P1)= ? Final Pressure of N2…

Q: The volume of an automobile tire is 2.5x10^-2m^3. The pressure of the air in the tire is 3.3 atm and…

A: Given that---- volume of automobile tire = 2.5 × 10 -2. pressure of air in tire 3.3 atm…

Q: the correct number of significant digits. 1. Look up the density of water at 5.0ºC, 20.0ºC,…

A: Density of water:Pure water has its highest density at a temperature of about 40 Celsius. This…

Question

### GASES: Interconverting Pressure and Force

#### Problem Statement:
A cylinder measuring 8.5 cm wide and 10 cm high is filled with gas. The piston is pushed down with a steady force measured to be 15. N.

#### Task:
Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits.

**Graphical Representation:**
- **Gas Cylinder Diagram:**
- There is a labeled diagram of a gas cylinder with a piston on top.
- The cylinder is filled with gas.
- The labels indicate the "piston" and the "cylinder".

**Answer Box:**
- An input box is provided for the answer with units in "kPa".

**Interactive Tools:**
- A panel is provided to assist with the answer submission, featuring options to mark the answer in scientific notation, clear the input, and revert the entry.

#### Solution Steps:
1. Calculate the area of the piston (top of the cylinder) using the diameter (8.5 cm).
2. Use the force applied (15 N) and the area calculated to determine the pressure.
3. Convert the pressure result into kilopascals.
4. Ensure the final answer is rounded to 2 significant digits.

Note: Remember to use appropriate unit conversions, where necessary, for consistency in units.

###### Formulae:
- **Area of Cylinder Piston (A):** $ \text{A} = \pi \left(\frac{d}{2}\right)^2 $
- **Pressure (P):** $ \text{P} = \frac{\text{Force}}{\text{Area}} $
- **Conversion to kPa:** 1 Pa = 1 N/m² and 1 kPa = 1000 Pa

This page provides a practical example of calculating pressure from force and area, incorporating the principles of gases in a closed system.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given and Required Quantities

VIEW

Pressure on the gas

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A balloon salesman fills balloons with helium from a gas bottle. Helium flows from the bottle to the balloon at a constant rate of 146cm3/s Assuming that the balloon is perfectly spherical at all times, calculate the rate at which the radius of the balloon changes when r= 3cm You may use: ???ℎ???= 4/3?r3 Give your answer correct to 2 decimal places.
A cylinder measuring 7.8 cm wide and 9.4 cm high is filled with gas and the piston pushed down with a steady force. piston cylinder gas ol. Ar Calculate the force on the piston if the pressure in the gas is measured to be 192. kPa. Write your answer in units of kilonewtons. Round your answer to 2 significant digits. O kN
Learning Goal: To understand the meaning and the basic applications of pV diagrams for an ideal gas. As you know, the parameters of an ideal gas are described by the equation PV = nRT, where p is the pressure of the gas, V is the volume of the gas, n is the number of moles, R is the universal gas constant, and I is the absolute temperature of the gas. It follows that, for a portion of an ideal gas, Figure 3po 2po Po pV T 51 Vo = constant. 6 2V 3V V Submit ✓ Correct No work is done during a process, if the gas does not experience a change in volume. The absolute value of the work done by the gas during a cycle (a process in which the gas returns to its original state) equals the area of the loop corresponding to the cycle. One must be careful, though, in judging whether the work done by the gas is positive or negative. One way to determine the total work is to calculate directly the work done by the gas during each step for the cycle and then add the results with their respective…
Pls help ASAP. Pls show all work and calculations.
I need help solving this problem please help A 6-inch personal pizza has 570 calories. A 14-inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14-inch pizza. Round your answer to the nearest calorie.
Please help. This problem involves finding the radius and volume of a platinum atom using its density. Thank you.
For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?
By how much will the temperature of the tissue increase ? answer in K. show steps on how you solved it
A cylinder measuring 8.0 cm wide and 9.5 cm high is filled with gas. The piston is pushed down with a steady force measured to be 19. N. • piston cylinder gas Calculate the pressure of the gas inside the cylinder. Write your answer in units of kilopascals. Round your answer to 2 significant digits. O kPa ?
A team in a Marshmellow challenge built a thrity inch tall structure in eighteen minutes. What is the average building speed of the team in inches per second? What will be the average speed in meters per second?
1 please need help, keep in mind the 7 basic units and watch the sig figs. Please write in standard form need to see all the numbers in solution thank you so much
Question 3 Units and Dimensions. Express the units of the following parameters in Sl units in terms of mass(kg), length(m), time (s) and temperature (K). For example, the unit for Force can be expressed as kg m/s². Pressure: Stress: Viscosity: Kinematic viscosity: Acceleration: