Problem $3$: Gay$-$Lussac investigated the relationship between the Pressure of a gas and its

temperature. At constant volume, the pressure of a gas sample $p$ is directly proportional to

the Kelvin temperature $t.$ The mathematical statement is as follows:

$\frac{p_1}{t_1}=\frac{p_2}{t_2}$

Suppose we have the following problem: A gas cylinder containing explosive hydrogen gas

has a pressure of $50$atm at a temperature of $300K.$ The cylinder can withstand a pressure

of $500$atm before it bursts, causing a building$-$flattening explosion. What is the maximum

temperature the cylinder can withstand before bursting? Write a $C$ program that

a$)$ Calculate the maximum temperature the cylinder can withstand before bursting.

b$)$ Use a loop to calculate the pressure in the cylinder from $0C(273\mathrm{.}15K)$ by

increments of $100$ degrees $K$ until the cylinder explodes. Display the result in a table. The

output should look like this with the headers and the columns nicely aligned.