Question

С баллона со сжатым воздухом выходит газ через поврежденный вентиль. При температуре 7 ° С манометр показывает 500 Па. Некоторое время спустя при температуре 17 ° С манометр показывает тот же давление. насколько изменилась концентрация газа в баллоне? Какая масса газа осталась в баллоне, если объем баллона составляет 10 л?

Answer 1

Сначала переведём величины в CИ:

10л=0,01м3 ,7°C=280 K, 17°C=290K

Плотность Водорода=0,09 кг/м3

(из таблицы)

Итак,воспользуемся уравнением PV/T=const.

Значит для двух состояний газа имеем:

5*10^6 Па*0,01 м3/280К=5*10^6Па*V/290К

V=0,01м^3

m=p*V,где р-плотность

m=0,0009 кг=0,09г

Ответ:0,9 г Водорода.

Answer 2

Problem Analysis

In this problem, we are given a scenario where gas is leaking from a damaged valve on a compressed air cylinder. The pressure inside the cylinder is measured by a pressure gauge, and we are provided with the pressure readings at two different temperatures. We need to determine the change in gas concentration inside the cylinder and calculate the remaining mass of gas in the cylinder.

Solution

To solve this problem, we need to use the ideal gas law, which states that the pressure, volume, and temperature of a gas are related by the equation:

PV = nRT

Where: - P is the pressure of the gas - V is the volume of the gas - n is the number of moles of gas - R is the ideal gas constant - T is the temperature of the gas in Kelvin

We can rearrange the ideal gas law to solve for the number of moles of gas:

n = PV / RT

Since the volume of the cylinder is given as 10 liters, we can calculate the number of moles of gas at each temperature using the ideal gas law. The change in gas concentration can be determined by subtracting the number of moles at the initial temperature from the number of moles at the final temperature.

Finally, we can calculate the mass of gas remaining in the cylinder using the equation:

mass = n * molar mass

Where: - mass is the mass of the gas - n is the number of moles of gas - molar mass is the molar mass of the gas

Let's calculate the change in gas concentration and the remaining mass of gas in the cylinder.

Calculation

Given: - Initial temperature (T1) = 7 °C - Final temperature (T2) = 17 °C - Pressure at both temperatures (P1 = P2) = 500 Pa - Volume of the cylinder (V) = 10 liters

First, we need to convert the temperatures from Celsius to Kelvin: - T1 = 7 + 273.15 = 280.15 K - T2 = 17 + 273.15 = 290.15 K

Next, we can calculate the number of moles of gas at each temperature using the ideal gas law: - n1 = (P1 * V) / (R * T1) - n2 = (P2 * V) / (R * T2)

Since the pressure is the same at both temperatures, the change in gas concentration can be calculated as: - Change in gas concentration = n2 - n1

Finally, we can calculate the remaining mass of gas in the cylinder using the molar mass of the gas: - mass = n2 * molar mass

Answer

The change in gas concentration inside the cylinder is 0 moles. This means that the concentration of gas in the cylinder remains the same.

To calculate the remaining mass of gas in the cylinder, we need to know the molar mass of the gas. Please provide the molar mass of the gas, and I will calculate the remaining mass for you.