3 (a) (i) State what is meant by the internal energy of a system. (ii) Explain why, for an ideal gas, the change in internal energy is directly proportional to the change in thermodynamic temperature of the gas. (b) A cylinder of volume 1.8 × 10⁴ cm³ contains helium gas at pressure 6.4 × 10⁸ Pa and temperature 25 °C. Helium gas may be considered to be an ideal gas consisting of single atoms. Calculate the number of helium atoms in the cylinder. number = ..............................................
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