Answer:

Explanation:
Let assume that gas inside the automobile tire behaves as an ideal gas. Due to the absence of leakages, the number of moles remains constant during the trip. Air temperature can be found by using the following relation:

Final temperature is cleared with the expression:



Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of n is 
Explanation:
From the question we are told that
The value of m = 2
For every value of 
The modified version of Balmer's formula is ![\frac{1}{\lambda} = R [\frac{1}{m^2} - \frac{1}{n^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%7D%20%20%3D%20R%20%5B%5Cfrac%7B1%7D%7Bm%5E2%7D%20-%20%5Cfrac%7B1%7D%7Bn%5E2%7D%20%20%5D)
The Rydberg constant has a value of 
The objective of this solution is to obtain the value of n for which the wavelength of the Balmer series line is smaller than 400nm
For m = 2 and n =3
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{3^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B3%5E2%7D%20%20%5D)


For m = 2 and n = 4
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{4^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B4%5E2%7D%20%20%5D)


For m = 2 and n = 5
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{5^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B5%5E2%7D%20%20%5D)


For m = 2 and n = 6
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{6^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B6%5E2%7D%20%20%5D)


For m = 2 and n = 7
The wavelength is
![\frac{1}{\lambda } = (1.097 * 10^7)[\frac{1}{2^2} - \frac{1}{7^2} ]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Clambda%20%7D%20%3D%20%281.097%20%2A%2010%5E7%29%5B%5Cfrac%7B1%7D%7B2%5E2%7D%20-%20%5Cfrac%7B1%7D%7B7%5E2%7D%20%20%5D)


So the value of n is 7
Julius Robert Mayer discovered the Law of Conservation of Energy.
Gravity only determines the path in projectile motion