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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
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.

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