Boyles Law and Gay-Lussac's law

Question

1. Using the symbols P, T, and k (where k represents a constant), write an equation to express the relationship between pressure and temperature in Kelvin. This mathematical relationship is known as Gay-Lussac’s Law. (Pressure vs Temperature) Y= 12.758x+1.8728
2. Using the symbols P, n, and k (where k represents a constant), write an equation to express the relationship between pressure and the number of molecules. (Number of molecules vs Pressure) Y= 0.1168x-0.0071
3. Using the symbols P, V, and k (where k represents a constant), write an equation to express the relationship between pressure and volume. This mathematical relationship is known as Boyle’s Law. (Volume vs Pressure) Y=19504x^-1.0048

Answer 1

Just start from the ideal gas law P V = n R T where R is the gas constant.

1) P = k T when V and n are fixed.

2) n = k P when V and T are fixed.

3) PV = k, V = k/P when n and T are fixed.