Question

У зварювальному цеху є 40 балонів ацетилену (С2Н2) об'ємом 40 дм³ кожен. Усі вони увімкнуті в загальну магістраль. Після 12 год безперервної роботи тиск у всіх балонах знизився з 1,3*10в 7 степені до 0,7*10в 7степені Па. Визначте витрату ацетилену, якщо температура в цеху залишалася незмінною і дорівнювала 32°С.? Допоможіть будь-ласка...

Answer 1

PV=(M/Mr)*RT
M1=p1*V*Mr/(R*T)
M2=p2*V*Mr/(R*T)
M1-M2=(p1-p2)*V*Mr/(R*T)=(1,3*10^7-0,7*10^7)*(40*40*10^(-3))*(2*12+2*2)*10^(-3)/(8,31*(32+273)) кг=106,05 кг ~ 106 кг

Answer 2

Calculation of Acetylene Consumption

To determine the acetylene consumption, we need to use the ideal gas law equation, which states that the pressure, volume, and temperature of a gas are related by the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.

In this case, we are given the initial and final pressures, the volume, and the temperature. We can assume that the number of moles of acetylene remains constant throughout the process.

Let's calculate the acetylene consumption step by step:

1. Convert the given temperatures from Celsius to Kelvin: - Initial temperature (T1) = 32°C + 273.15 = 305.15 K - Final temperature (T2) = 32°C + 273.15 = 305.15 K

2. Convert the given pressures from scientific notation to standard notation: - Initial pressure (P1) = 1.3 * 10^7 Pa - Final pressure (P2) = 0.7 * 10^7 Pa

3. Calculate the number of moles of acetylene using the ideal gas law equation: - n = (P1 * V) / (R * T1) = (1.3 * 10^7 Pa * (40 dm^3)) / (8.314 J/(mol·K) * 305.15 K) - n = 0.0065 mol

4. Calculate the final volume of acetylene using the ideal gas law equation: - V2 = (n * R * T2) / P2 = (0.0065 mol * 8.314 J/(mol·K) * 305.15 K) / (0.7 * 10^7 Pa) - V2 = 0.0003 m^3

5. Calculate the acetylene consumption by subtracting the final volume from the initial volume: - Acetylene consumption = Initial volume - Final volume = 40 dm^3 - 0.0003 m^3 - Acetylene consumption = 39.9997 m^3

Therefore, the acetylene consumption after 12 hours of continuous operation is approximately 39.9997 m^3.

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