An insulated rigid tank is divided into two equal parts by a partition. Initially, one part contains 4 kg of an ideal gas at 700 kPa and 59°C, and the other part is evacuated. The partition is now removed, and the gas expands into the entire tank. Determine the final temperature and pressure in the tank.

Explanation:

Given that

mass , m = 4 kg

Initial pressure ,

Initial temperature ,

The volume of rigid tanks are same

Let's take final temperature

Given that tank is insulated that is why heat transfer in the tank will be zero.

By using energy balance

= Change in the internal energy of the gas

)           ( Cv=Specific heat capacity at constant volume)

Therefore

We know that ideal gas equation for gas

P V = m R T

P=pressure ,V=Volume ,m=mass ,R= gas constant ,T=temperature

By using mass conservation

Now by putting the values in the above equation

Therefore the final volume will be 350 kPa and temperature will be 59°C.