Question

Помогите, пожалуйстаа, людии, до завтра нид решить. А у меня не получается через Менделеева-Клапейрона.В комнате объемом 30 м3 температура увеличилась от 10 до 25 0С. Насколько при этом изменилась масса воздуха в комнате, если атмосферное давление 10^5 Па? Молярная масса воздуха равно 2,9*10^4 кг/моль.Пожалуйста, очень срочно нужно решить(

Answer 1

Запросто
P*V=m1*R*T1/M
m1=P*V*M/R*T1
аналогично для другой температуры
m2=P*V*M//RT2
Δm=m1-m2=P*V*M/R(1/T1 -1T2)=10^5*30*0,029/8,31  * (1/283 -1/298)=1,862 кг

Answer 2

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Answer 3

Calculation of the Change in Air Mass

To calculate the change in air mass in the room, we can use the ideal gas law, which is a combination of Boyle's law, Charles's law, and Avogadro's law. The ideal gas law equation is:

PV = nRT

Where: - P is the pressure of the gas (in Pascals) - V is the volume of the gas (in cubic meters) - n is the number of moles of the gas - R is the ideal gas constant (8.314 J/(mol·K)) - T is the temperature of the gas (in Kelvin)

In this case, we know the initial and final temperatures of the air in the room, as well as the volume of the room and the atmospheric pressure. We can use this information to calculate the initial and final number of moles of air in the room and then find the difference.

Calculation Steps:

1. Convert the temperatures from Celsius to Kelvin: - Initial temperature (T1) = 10°C + 273.15 = 283.15 K - Final temperature (T2) = 25°C + 273.15 = 298.15 K

2. Calculate the initial number of moles of air (n1) using the ideal gas law: - Rearrange the ideal gas law equation to solve for n: n = PV / RT - Plug in the values: P = 10^5 Pa, V = 30 m^3, R = 8.314 J/(mol·K), T = T1 - Calculate n1 using the equation.

3. Calculate the final number of moles of air (n2) using the ideal gas law: - Plug in the values: P = 10^5 Pa, V = 30 m^3, R = 8.314 J/(mol·K), T = T2 - Calculate n2 using the equation.

4. Calculate the change in the number of moles of air: - Change in moles of air = n2 - n1

5. Calculate the change in mass of air: - Change in mass of air = (Change in moles of air) * (Molar mass of air)

Calculation:

Let's calculate the change in mass of air using the given values:

1. Convert the temperatures to Kelvin: - T1 = 283.15 K - T2 = 298.15 K

2. Calculate the initial number of moles of air (n1): - P = 10^5 Pa - V = 30 m^3 - R = 8.314 J/(mol·K) - T = T1

n1 = (P * V) / (R * T1)

3. Calculate the final number of moles of air (n2): - P = 10^5 Pa - V = 30 m^3 - R = 8.314 J/(mol·K) - T = T2

n2 = (P * V) / (R * T2)

4. Calculate the change in the number of moles of air: - Change in moles of air = n2 - n1

5. Calculate the change in mass of air: - Molar mass of air = 2.9 * 10^4 kg/mol

Change in mass of air = (Change in moles of air) * (Molar mass of air)

Let's perform the calculations step by step.