1.19. A gas is confined in a 0.47 m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150 kg. The local acceleration of gravity is 9.813 m-s-2, and atmospheric pressure is 101.57 kPa. (a) What is the force in newtons exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and cylinder? (b) What is the pressure of the gas in kPa? (c) If the gas in the cylinder is heated, it expands, pushing the piston and weight upward. If the piston and weight are raised 0.83 m, what is the work done by the gas in kJ? What is the change in potential energy of the piston and weight?

1.19. A gas is confined in a 0.47 m diameter cylinder by a piston, on which rests a weight. The mass of the piston and weight together is 150 kg. The local acceleration of gravity is 9.813 m-s-2, and atmospheric pressure is 101.57 kPa. (a) What is the force in newtons exerted on the gas by the atmosphere, the piston, and the weight, assuming no friction between the piston and cylinder? (b) What is the pressure of the gas in kPa? (c) If the gas in the cylinder is heated, it expands, pushing the piston and weight upward. If the piston and weight are raised 0.83 m, what is the work done by the gas in kJ? What is the change in potential energy of the piston and weight?

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...

See similar textbooks

Related questions

Q: oxygen (diatomic gas) and N moles of neon (monoatomic gas) initially at 350°C. In the same container…

A: While the specific number of moles (N) for each gas cannot be determined with the given information,…

Q: G₂₁ - Cv = T ( 7). (OV). Әр ƏT Use the Euler and reciprocal relations to show that it is equivalent…

Q: 3.63 moles of a gas that follows the van der Waals equation of state are placed in a rigid container…

Q: The pressure in an automobile tire is 200. kPa at a temperature of 25°C. At the end of a journey on…

A: In this problem, we are given the initial pressure (P1) and temperature (T1) inside the tire. After…

Q: 4B. The value of the compression factor (Z) approaches 1 for all real gases in the limit as (explain…

A: Compression factor is defined as the factor which corrects the deviation of any real gas from the…

Q: Consider one mole of a real gas at 330 K packed into a container of 9.7 liters that obeys the van…

Q: Determine the static pressure to stagnation pressure ratio associated with the following motion in…

A: At standard atmospheric condition it is given that, (a) Given speed = v = 5mph Speed of sound, c =…

Q: Starting with the following alternative definition of Cp, and C₁: C = (S/S), C₁ = T(ƏS/ƏT)v show…

A: The problem asks us to show that Cp − Cv can be expressed as a function of PVT properties only,…

Q: Suppose a uniform ideal gas of total mass M, temperature T and N particles. What is the (v²) of each…

A: Given data The ideal gas having total mass = M temperature = T number of Particle = N it's asking…

Q: 1) A lungful of air (337 cm3 ) is exhaled into a machine that measures lung capacity. If the air is…

A: 1) As per the given data we haveP1=1.88atm P2=0.958atmT1=42.10C(315.25K)…

Q: A quantity of gas in a piston cylinder has a volume of 0.466 m3 and a pressure of 200 Pa. The piston…

A: Initial Volume = V1 = 0.466 m3 Initial Pressure = P1 = 200Pa Final Volume , V2 = 0.245 m3…

Q: The density of an ideal gas can be written in terms of the variables p and T: Mp where M is the…

A: We see cyclic rule first for the given equation d = MP/RT For solving this problem you must have…

Q: A volume meter operates at 28 °C and an internal vacuum of 24 mm Hg. Barometric pressure is 756 mm…

A: Ideal gases are hypothetical gases which do have real existence. A gas can behave ideally at low…

Q: Metabolic engineering Consider the engineering design of microbial cell culture and growth in the…

A: Given:Reaction is: C2H5OH + aO2 + bNH3 -----> cCH3.5N0.15O0.4 + dH2O + eCO2 By mass…

Q: O STATES OF MATTER Interconverting molar mass and density of ideal... A sample of an unknown…

Q: (a) Use the following data for NH3 (g) at T = 273 K to evaluate B2P (T). (Here Z is the…

Q: Ammonia is produced industrially by reacting N2 with H2 at elevated pressure and temperature in the…

Q: A spherical balloon with a diameter of 9 m is filled with helium at 20°C and 200 kPa. Determine the…

Q: The ammonia contained in a container measuring rectangular tank 1m x 700 cm x 3000 mm if the…

A: Formula use: pV = nRT V = volume n= moles of gas R= gas constant = 8.3144 × 10−2 L⋅bar⋅K−1⋅mol−1 T=…

Q: 5.31 A McLeod gauge measures low gas pressures by com- pressing a known volume of the gas at…

A: McLeod gauge is a scientific instrument which is used to measure the very low pressure . It work…

Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

Question

1.19. A gas is confined in a 0.47 m diameter cylinder by a piston, on which rests a weight.
The mass of the piston and weight together is 150 kg. The local acceleration of gravity
is 9.813 m-s-2, and atmospheric pressure is 101.57 kPa.
(a) What is the force in newtons exerted on the gas by the atmosphere, the piston, and
the weight, assuming no friction between the piston and cylinder?
gas in kPa?
(b) What is the pressure of the
(c) If the gas in the cylinder is heated, it expands, pushing the piston and weight
upward. If the piston and weight are raised 0.83 m, what is the work done by the
gas in kJ? What is the change in potential energy of the piston and weight?

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: a) Force

VIEW

Step 2: (b) The net pressure

VIEW

Step 3: (c) The work done and change in potential energy

VIEW

Solution

VIEW

Step by step

Solved in 4 steps

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, chemistry and related others by exploring similar questions and additional content below.

Similar questions

A gas occupies a volume of 240 ml at 65°C and 297 kPa. What is the volume of the gas at STP? Show your work. Include units on your answer. (STP is standard temperature and pressure. Standard temperature is 273 K and 101.3 kPa.)
The combustion of propane, C,Hs, in a gas fuelled car, produces CO,, which is expelled from the exhaust pipe as gas (g): C,H 50 3CO, 4H,O What is the volume of CO, produced, during a day of summer, at the temperature of 40°C and a pressure of 99.5 kPa when 19.5 g of propane are burned in this reaction? (Note the molecular weight of C;H; is 44.1 g mol-). Select one: a. 24.0 m2 O b.31.2 dm O c 34.7 dm O d.4.71 m² O e 2.37 dm Finish attempt .. Previous page A Week 11 Student Feedback Jump to.. O QMplus Media A QMplus Hub Help & Support QMPLUS ARCHIVE LIBRARY LUELD G CU RRORT
A rigid insulated tank is divided into 2 equal compartments by athin rigid partition. One of the compartments contains air, assumedto be an ideal gas at 800 kPa and 250◦C. The other compartment isunder a vacuum. The partition is suddenly broken and the air rushesinto the evacuated compartment. The tank pressure and temperatureeventually equilibrate. (a) what is the final temperature of the gas ◦C?(b) what is the final pressure, kPa?(c) how much work is done by the system, kJ/kg?(d) how much heat is transferred to the system kJ/kg
1C.5 The virial equation of state may also be written as an expansion in terms of pressure: Z= 1 + B'p+ ... The critical constants for water, H,0, are 218.3 atm, 55.3 cm³ mol-1 and 647.4 K. Assuming that the expansion may be truncated after the second term, calculate the value of the second virial coef- ficient B'at the critical temperature. %3D
4. The equation of state for a van der Waal's gas is: RT V-by², where Vm is the molar volume, V/n. p= m a m Starting with an expression for U(S,Vm), derive an expression for the internal pressure, TT, and calculate its change when a van der Waal's gas with a = 4.14 atm L²mol-2 and b = 5.15 x 10-2 Lmol-¹ is cooled from 200°C to 10°C.
What final pressure must be applied to a sample of gas having a volume of 635 mL at 30.oC and 106 kPa pressure to permit the expansion of the gas to a volume of 302 mL at 30.oC? (223 kPa)