Ideal gas equation and heat problem

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Homework Help Overview

The discussion revolves around the behavior of an ideal gas transitioning from state 1 to state 2, specifically focusing on how the volume changes as represented in a P-T diagram. Participants are examining the implications of the ideal gas equation in this context.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are analyzing the relationship between pressure and temperature, questioning the constancy of volume based on the P-T diagram. There are attempts to reconcile personal calculations with the answer provided in a textbook, leading to discussions about the nature of the P-T graph.

Discussion Status

The discussion is ongoing, with participants expressing differing views on the volume change of the gas. Some have provided reasoning based on the ideal gas law, while others are seeking clarification on the characteristics of the P-T graph. There is no explicit consensus yet, but participants are engaging with the problem and exploring various interpretations.

Contextual Notes

Participants are working under the assumption that the ideal gas law applies and are referencing a P-T diagram that is not fully detailed in the discussion. There is mention of a textbook answer that suggests volume increases, which some participants dispute based on their calculations.

Amith2006
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Sir,
An ideal gas is taken from state 1 to state 2. How does the volume change? The P-T diagram is as shown.
I solved it in the following way:
From the diagram it is clear that P/T is a constant. From ideal gas equation,
PV = nRT
V = (nR)/(P/T)
= constant
But the answer given in my book is that volume increases. I think the book answer is wrong. What do you say Sir?
 

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Amith2006 said:
Sir,
An ideal gas is taken from state 1 to state 2. How does the volume change? The P-T diagram is as shown.
I solved it in the following way:
From the diagram it is clear that P/T is a constant. From ideal gas equation,
PV = nRT
V = (nR)/(P/T)
= constant
But the answer given in my book is that volume increases. I think the book answer is wrong. What do you say Sir?
If the graph of P vs. T is a straight line, Volume must be constant. Is the P-T graph a straight line?

AM
 
Amith2006 said:
Sir,
An ideal gas is taken from state 1 to state 2. How does the volume change? The P-T diagram is as shown.
I solved it in the following way:
From the diagram it is clear that P/T is a constant. From ideal gas equation,
PV = nRT
V = (nR)/(P/T)
= constant
But the answer given in my book is that volume increases. I think the book answer is wrong. What do you say Sir?
Yes Sir. It is a straight line.
 
That would be definitely constant. Because on V=(nR)(P/T), the only value we need to consider here is P and T because it will be assume that they have the same number of n and R is constant also.
 

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