Another form of the ideal gas equation is PV =RT What is the correct expression when this equation is solved for g? O 1) PVM RT O 2) g-PVART 3) PVRT RT 4) PVM
Another form of the ideal gas equation is PV =RT What is the correct expression when this equation is solved for g? O 1) PVM RT O 2) g-PVART 3) PVRT RT 4) PVM
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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![Title: Solving the Ideal Gas Equation for Moles
Content:
The ideal gas equation is a fundamental relation in chemistry and physics, given in one form as:
\[ PV = \frac{g}{M}RT \]
Where:
- \( P \) is the pressure
- \( V \) is the volume
- \( g \) is the mass of the gas
- \( M \) is the molar mass
- \( R \) is the ideal gas constant
- \( T \) is the temperature in Kelvin
The task is to determine the correct expression for \( g \) when the equation is solved for this variable.
Options:
1) \[ g = \frac{PVM}{RT} \]
2) \[ g = PVMRT \]
3) \[ g = \frac{PVRT}{M} \]
4) \[ g = \frac{RT}{PVM} \]
To solve for \( g \), multiply both sides of the first equation by \( M \) and then by \( RT \) to isolate \( g \):
Correct expression for \( g \) is:
\[ g = \frac{PVM}{RT} \]
This corresponds to option 1 in the list.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F735b0976-906f-40ec-a76b-1f1d9f7b453e%2F79441fd6-4388-42c3-ada7-0e8a61d2e8d3%2Fcq1risj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Solving the Ideal Gas Equation for Moles
Content:
The ideal gas equation is a fundamental relation in chemistry and physics, given in one form as:
\[ PV = \frac{g}{M}RT \]
Where:
- \( P \) is the pressure
- \( V \) is the volume
- \( g \) is the mass of the gas
- \( M \) is the molar mass
- \( R \) is the ideal gas constant
- \( T \) is the temperature in Kelvin
The task is to determine the correct expression for \( g \) when the equation is solved for this variable.
Options:
1) \[ g = \frac{PVM}{RT} \]
2) \[ g = PVMRT \]
3) \[ g = \frac{PVRT}{M} \]
4) \[ g = \frac{RT}{PVM} \]
To solve for \( g \), multiply both sides of the first equation by \( M \) and then by \( RT \) to isolate \( g \):
Correct expression for \( g \) is:
\[ g = \frac{PVM}{RT} \]
This corresponds to option 1 in the list.
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