You have a sample that contains \(9.70 \times 10^{21}\) particles of an unknown gas in a chamber that has a volume of \(0.0100 \mathrm{~m}^{3}\). The initial pressure in the chamber is \(1.84 \times 10^{4} \mathrm{~Pa}\), and you determine that \(378 \mathrm{~J}\) of energy must be added to the sample to increase the pressure to \(2.68 \times 10^{4} \mathrm{~Pa}\).

(a) What can you say about the structure of the particles?

(b) If your choices for the identity of the gas are helium, hydrogen, ammonia, and nitrogen, which do you choose, and why?