Question

Nitrogen gas at 300 k and 200 kpa is throttled adiabatically to a pressure of 100 kpa if the change in kinetic energy is negligble the temperature of the nitrogen after throttling will be:_________

Answer 1

Answer:

The temperature of the Nitrogen after throttling is  $T_2 = 300 \ K$

Explanation:

From the question we are told that

   The  temperature is  $T_1 = 300 \ K$

    The pressure is  $P = 200 \ kPa = 200 * 10^{3} \ Pa$

    The pressure after being  $P_1 = 100 \ kPa = 100 * 10^{3} \ Pa$

   

Generally from the first law of thermodynamics we have that

      $Q - W = \Delta U + \Delta K$

Here $\Delta U$  is the change internal  energy which is mathematically represented as

            $\Delta U = C_p (T_2 - T_1)$

Here      $C_p$ is the specific heat of the gas at constant pressure

        $\Delta K$  is the change kinetic energy which is negligible

         Q  is the thermal  energy  which is Zero for an adiabatic process

         W  is the work done and the value is zero given that the gas was throttled adiabatically

So

      $0= \Delta U +0$

=>   $\Delta U = 0$

=>  $(T_2 - 300) = 0$

=>   $T_2 = 300 \ K$