A gas law calculator

You will write four small functions that you can use again for every gas law question. One changes a Celsius temperature to kelvin. One finds the pressure of a gas. One finds the new volume when the pressure and the temperature change. One finds the molar mass from a mass and the conditions.

The idea. The temperature in every gas law is in kelvin, $T = t + 273.15$. The ideal gas equation is $PV = nRT$, and we use $R = 0.08314\ \text{L bar K}^{-1}\ \text{mol}^{-1}$ with pressure in bar and volume in litres. For a fixed amount of gas, $\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}$. The molar mass is $M = \dfrac{mRT}{PV}$.

Your tasks.

1. Complete to_kelvin(celsius).
2. Complete ideal_pressure(n, celsius, volume) so that it returns the pressure in bar.
3. Complete new_volume(p1, v1, c1, p2, c2) so that it returns the new volume. The temperatures are in degrees Celsius.
4. Complete molar_mass(mass, pressure, volume, celsius) so that it returns the molar mass in g/mol.