   Chapter 12, Problem 27P

Chapter
Section
Textbook Problem

An ideal monatomic gas is contained in a vessel of constant volume 0.200 m3. The initial temperature and pressure of the gas are 300. K and 5.00 atm, respectively. The goal of this problem is to find the temperature and pressure of the gas after 16.0 kJ of thermal energy is supplied to the gas. (a) Use the ideal gas law and initial conditions to calculate the number of moles of gas in the vessel. (b) Find the specific heat of the gas. (c) What is the work done by the gas during this process? (d) Use the first law of thermodynamics to find the change in internal energy of the gas. (e) Find the change in temperature of the gas. (f) Calculate the final temperature of the gas. (g) Use the ideal gas expression to find the final pressure of the gas.

(a)

To determine
The number of moles of gas in the vessel.

Explanation

Given Info:

The volume of the vessel is 0.200m3 .

The initial pressure of the gas is 5.00atm .

The initial temperature of the gas is 300K .

From ideal gas law,

Formula to calculate the number of moles of gas in the vessel,

n=PiVRTi

• Pi is the initial pressure of the gas
• V is the volume of the vessel
• R is the universal gas constant
• Ti is the initial temperature

Substitute 5.00atm for Pi , 0.200m3 for V, 8.31J/molK for R and 300K for Ti to find the number of moles of gas,

n=5

(b)

To determine
the specific heat of the gas.

(c)

To determine
the work done by the gas during the process.

(d)

To determine
To determine the change in internal energy of the gas.

(e)

To determine
To determine the change in temperature of the gas.

(f)

To determine
the final temperature of the gas.

(g)

To determine
the final pressure of the gas.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

The BMI standard is an excellent tool for evaluating obesity in athletes and the elderly. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What does density describe?

An Introduction to Physical Science

How can the Doppler effect explain shifts in both light and sound?

Horizons: Exploring the Universe (MindTap Course List)

What is population genetics?

Human Heredity: Principles and Issues (MindTap Course List)

How do a solute, a solvent, and a solution differ?

Biology: The Dynamic Science (MindTap Course List)

Which of the following molecule is nonpolar? a.NH3 b.H2O c.PCl3 d.N2

Chemistry for Today: General, Organic, and Biochemistry 