A sample of 8.02×10^−1 moles of nitrogen gas (γ =1 .40) occupies a volume of 2.00×10^−2 m^3 at a pressure of 1.00×10^5 Pa and temperature of 300K. The sample is isothermally compressed to exactly half its original volume. Nitrogen behaves as an ideal gas under these conditions.

(i)Find the change in entropy of the gas. (ii) What is the change in internal energy of the gas?
(iii) What is the amount of heat transferred from the gas to its environment?
(iv) Calculate the amount of work done in compressing the gas

2 answers

Anyone got any ideas? I think I can find the work done but im not sure about the other questions.
i) the change in entropy is zero as its isothermal.
ii) Also zero.
iii) use P deltaV=q.