An ideal gas `((C_(p))/(C_(v))=gamma)`has initial volume `V_(0)` is kept in a vessel. It undergoes a change and follows the following relation `P = kV^(2)` (where `P` is pressure, and `V` is volume) find the change in internal energy of the gas if its final pressure is `P_(0)`:

Find the dimensions of a and b in the formula [P + (a)/(V^(2))[V-b]] = RT where P is pressure and V is the volume of the gas.

The Volume of one mole of the gas is changed from V to 2V at constant pressure p. If gamma is the tatio of specific heats of the gas, change in internal energy of the gas is,

An ideal gas (C_(p)//C_(v) =gamma) having initial pressure P_(0) and volume V_(0) (a) The gas is taken isothermally to a pressure 2P_(0) and then adiabatically to a pressure 4P_(0) . Find the final volume. (b) The gas is brought back to its initial state. It is adiabatically taken to a pressure 2P_(0) and then isothermally to a pressure 4P_(0) . Find the final volume.

An ideal gas (C_(p)//C_(v) =gamma) having initial pressure P_(0) and volume V_(0) (a) The gas is taken isothermally to a pressure 2P_(0) and then adiabatically to a pressure 4P_(0) . Find the final volume. (b) The gas is brought back to its initial state. It is adiabatically taken to a pressure 2P_(0) and then isothermally to a pressure 4P_(0) . Find the final volume.

If the ratio of specific heat of a gas of constant pressure to that at constant volume is gamma , the change in internal energy of the mass of gas, when the volume changes from V to 2V at constant pressure p is