An ideal gas is described by PV = Nk _{B}T where P is pressure, V is volume, N is the number of molecules, k_{B} is Boltzmann’s Constant, and T is the Absolute Temperature (usually expressed in Kelvin). If an ideal gas with in initial pressure P_{0}, volume V_{0}, and temperature T_{0} expands at constant temperature to a volume 2V_{0}, how much work is done by the gas as it expands from V_{0} to 2V_{0}?

1. W = - ln(3/2) Nk _{B}T

2. W = - ln(3) Nk _{B}T

3. W = - 4 Nk _{B}T

4. W = - 3 Nk _{B}T

5. W = - ln(2) Nk _{B}T

6. W = - Nk _{B}T

7. W = - ln(4) Nk _{B}T

8. W = - (3/2) Nk _{B}T

9. W = 0

10. W = - 2 Nk _{B}T