To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas

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...
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To apply the ideal gas law to problems involving temperature, pressure, volume, and moles of a gas.
The four properties of gases (pressure PPP, volume VVV, temperature TTT, and moles of gas nnn) are related by a single expression known as the ideal gas law:

PV=nRTPV=nRT

The variable RRR is known as the universal gas constant and has the value R=0.0821 L⋅atm/(mole⋅K)R=0.0821 L⋅atm/(mole⋅K). The units of RRR dictate the units for all other quantities, so when using this value of RRR, use units of atmospheres for pressure, liters for volume, and kelvins for temperature.
 
A 16.0 LL gas cylinder is filled with 6.40 molesmoles of gas. The tank is stored at 55 ∘C∘C . What is the pressure in the tank?
Express your answer to three significant figures and include the appropriate units.
 
A 240. LL kiln is used for vitrifying ceramics. It is currently operating at 1165 ∘C∘C , and the pressure is 1.100 atmatm . How many moles of air molecules are within the confines of the kiln?
Express your answer to three significant figures and include the appropriate units.
 
A 12.0 LL gas cylinder has been filled with 4.80 molesmoles of gas. You measure the pressure to be 4.40 atmatm . What is the temperature inside the tank?
Express your answer to three significant figures and include the appropriate units.
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