How Does Expansion Affect Internal Energy in a Monatomic Ideal Gas?

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SUMMARY

The discussion focuses on calculating the change in internal energy for a monatomic ideal gas expanding from 100 cm³ to 200 cm³ at a constant pressure of 1.0 × 10⁵ Pa. The relevant equation used is ΔU = (C_v/R)PΔV, where C_v for a monatomic gas is defined as (3/2)R. The conclusion emphasizes that the internal energy change can be accurately determined using these established thermodynamic principles.

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Homework Statement
A monatomic ideal gas expands from 100cm³ to 200cm³ at a constant
pressure of 1.0 × 10⁵ Pa. Find the change in the internal energy of the gas.
Relevant Equations
Included in my attempt at a solution
Problem Statement: A monatomic ideal gas expands from 100cm³ to 200cm³ at a constant
pressure of 1.0 × 10⁵ Pa. Find the change in the internal energy of the gas.
Relevant Equations: Included in my attempt at a solution

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You almost had it, but not quite. You had $$\Delta U=\frac{C_v}{R}P\Delta V$$And we know that, for a monatomic gas, $$C_v=\frac{3}{2}R$$Therefore,...
 
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