#### Ideal Gas and Work

An **ideal gas** with a specific gas constant R=0.29 kJ/(kg K)
is compressed from an initial state, p_{1} = 0.1 MPa
v_{1}=1 m^{3}/kg, to a pressure
p_{2}= 1 MPa.

During the compression, including the initial state, index 1, and the
end state, index 2, pressure and specific volume are related
according to :

p v^{1.2} = constant

- What is the value of the initial temperature, T
_{1} ?
- What is the specific volume, v
_{2}, at the end of the compression ?
- What is the temperature, T
_{2}, at the end of the compression ?
- Derive the equation for the amount of work which has to be done to
compress 1 kg of the gas from the initial state 1 to the end state 2.
Start with the definition of work :

- Evaluate the equation obtained under 4) using the numbers you obtained
previously.