Вопрос
18a) Crtate Charler law. vtater that the volume of a given mar of a gak is directly proportional to its abrolute temperature at a constant prossure. b The volume of a sample of ndrogen gas at a tomperatu of agik and 1.0 times 10^5 Parale was 3.5 times 10^-2 mathrm(~m)^3 . Calculato the temperature at which the volume of legan would be 2.5 times 10^-2 mathrm(~m)^3 at 1.0 times 105 Pascaln
Решения
4.7
(133 Голоса)
Жанна
Экспертная проверка
мастер · Репетитор 5 лет
Ответ
To solve this problem, we can use Charles's Law, which states that the volume of a given mass of a gas is directly proportional to its absolute temperature at constant pressure. Mathematically, this can be expressed as:
where:-
is the initial volume-
is the initial temperature-
is the final volume-
is the final temperatureGiven:-
-
(assuming the initial temperature is 300 K)-
-
(constant pressure)We need to find
.Using Charles's Law:
Rearranging to solve for
:
Substituting the given values:
Therefore, the temperature at which the volume of the gas would be
at
is approximately
.