# Calculating Volume in Reversible Isothermal Expansion

An ideal gas undergoes a reversible isothermal expansion from an initial volume V1 to a final volume that is ten times greater, and in this process it does 10kJ of work, The initial pressure was 10^6 Nm^-2.

a) Find V1

b) If there were initially 2 moles of the gas, what was its initial temperature?

https://brainmass.com/chemistry/energetics-and-thermodynamics/calculating-volume-reversible-isothermal-expansion-598270

#### Solution Preview

a) w = -pdV = -p(V2-V1)

Here w = 10kJ, p = 10^6 Pa = 10^6 x 9.87 x 10^-6 atm, V2 = 10V1

10 kJ = -9.87 atm (10V1 - V1) = ...

#### Solution Summary

The volume and temperature are calculated in a reversible isothermal expansion.

$2.19