Question

Помогите пожалуйста!!!По физике. как вывести формулу если дано формула( для идеального одноатомного газа) U=3/2*m/M*RT и (уравнения Менделеева-Клапейрона) pV=m/M*RT нужно получить U=3/2*pV.Объясните пожалуйста

Answer 1

Ну смотри,pV=m/M*RT ,просто подставляешь pV, вместо m/M*RT ,и получается  U=3/2*pV

Answer 2

Deriving the Formula U = (3/2) pV for an Ideal Monoatomic Gas

To derive the formula U = (3/2) pV from the given formulas U = (3/2) (m/M) RT and pV = (m/M) RT, we can start by substituting the value of m/M from the second equation into the first equation.

Given: U = (3/2) (m/M) RT ---(1) pV = (m/M) RT ---(2)

Let's solve equation (2) for m/M: m/M = (pV) / (RT)

Now, substitute this value of m/M into equation (1): U = (3/2) [(pV) / (RT)] RT

Simplifying the equation: U = (3/2) pV

Therefore, we have derived the formula U = (3/2) pV for an ideal monoatomic gas.

Please note that this derivation assumes that the gas behaves ideally and follows the ideal gas law, which may not be applicable in all scenarios.