A mass $$m$$ of a perfect gas at pressure $${p_1}$$ and volume $${V_1}$$ undergoes an isothermal process. The final pressure is $${p_2}$$ and volume is $${V_2}.$$ The work done on the system is considered positive. If $$R$$ is the gas constant and $$T$$ is the temperature, then the work done in the process is

One $$kg$$ of an ideal gas (gas constant $$R=287$$ $$J/kg$$-$$K$$) undergoes an irreversible process from state- $${\rm I}$$ ( $$1$$ bar, $$300$$ $$K$$ ) to state-$$2$$ ( $$2$$ bar, $$300$$ $$K$$). The change in specific entropy $$\left( {{s_2} - {s_1}} \right)$$ of the gas (in $$J/kg$$.$$K$$) in the process is ____________

In the Rankine cycle for a system power plant the turbine entry and exit enthalpies are $$2803$$ $$kJ/kg$$ and $$1800$$ $$kJ/kg$$, respectively. The enthalpies of water at pump entry and exit are $$121$$ $$kJ/kg$$ and $$124$$ $$kJ/kg,$$ respectively. The specific steam consumption (in $$kg/kW.h$$) of the cycle is __________.

Which one of the following statement is TRUE?