Physics Practice Problems !! Isothermal Processes Practice Problems Solution: An ideal gas is described by PV = Nk BT where P is...

Solution: An ideal gas is described by PV = Nk BT where P is pressure, V is volume, N is the number of molecules, kB is Boltzmann’s Constant, and T is the Absolute Temperature (usually expressed in Kelvin). If an ideal gas with in initial pressure P0, volume V0, and temperature T0 expands at constant temperature to a volume 2V0, how much work is done by the gas as it expands from V0 to 2V0? 1. W = - ln(3/2) Nk BT 2. W = - ln(3) Nk BT 3. W = - 4 Nk BT 4. W = - 3 Nk BT 5. W = - ln(2) Nk BT 6. W = - Nk BT 7. W = - ln(4) Nk BT 8. W = - (3/2) Nk BT 9. W = 0 10. W = - 2 Nk BT

Problem

An ideal gas is described by PV = Nk BT where P is pressure, V is volume, N is the number of molecules, kB is Boltzmann’s Constant, and T is the Absolute Temperature (usually expressed in Kelvin). If an ideal gas with in initial pressure P0, volume V0, and temperature T0 expands at constant temperature to a volume 2V0, how much work is done by the gas as it expands from V0 to 2V0?

1. W = - ln(3/2) Nk BT

2. W = - ln(3) Nk BT

3. W = - 4 Nk BT

4. W = - 3 Nk BT

5. W = - ln(2) Nk BT

6. W = - Nk BT

7. W = - ln(4) Nk BT

8. W = - (3/2) Nk BT

9. W = 0

10. W = - 2 Nk BT