Question

The system contains 10²⁵ molecules of air. Estimate the energy required to raise the system temperature by 5 ° C. Take the Boltzmann constant from the corresponding tables. (K = 1.38 × 10^-23)

Answer 1

Find the amount of substance of 10²⁵ molecules of air assuming this is a diatomic gas:

$$n=\frac{N}{N_a}.$$

The energy required to raise the system temperature by 5 °C is

$$Q=\frac 52 nk\Delta T=\frac{5N}{2N_A}k\Delta T,\\\space\\ Q=2.87·10^{-21}\text{ J}.$$