Calclate its volume after compression?

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Discussion Overview

The discussion revolves around calculating the volume of a gas after it has been compressed under varying pressure and temperature conditions. It involves applying the ideal gas law and related equations to determine the final volume based on initial conditions.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents a homework problem involving a gas with specific initial conditions and asks for assistance in calculating the final volume after compression.
  • Another participant suggests using the ideal gas equation, indicating that the gas behavior should be considered under the assumption of ideal gas laws.
  • A third participant provides a formula for calculating the final volume and presents a numerical solution, questioning its correctness.
  • One participant confirms the numerical solution provided, emphasizing the importance of including units in calculations.

Areas of Agreement / Disagreement

There is no explicit consensus on the correctness of the calculations, but participants engage in a collaborative effort to verify the approach and results. The discussion remains open to further verification of the solution.

Contextual Notes

The discussion does not clarify whether the gas behaves ideally under the given conditions, and there may be assumptions regarding the ideal gas law that are not explicitly stated.

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Homework Statement



A gas at an initial volume of 0.1 m^3, a pressure of 140 kN/m^2 and a temperture of 25 degrees is compressed to a pressure of 700kN/m^2 and a temerture of 60 degrees.

Determine its volume after compression?

Homework Equations



P1 × V1 = P2 × V2
T1 T1


The Attempt at a Solution



P1 = 140Kn/m^2
V1 = 0.1 M^3
T1 = 298 K

P × V = 140 × 0.1 = 0.04
T 298

P1 = 700kN/m^2
V1 = ?
T1 = 333 K

I need to find V1 and need help to show me how to get this value please thanks In advance.
 
Last edited:
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Is it an ideal gas? Use the equation

\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}

It follows from PV = NkT.
 
V2 = p1v1t2 / t1p2


v2= 140,000, 0.1, 333.15 / 298.15, 700000 = 0.022

is this correct
 
Yes. Don't forget the units.
 
Thank you
 

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