Question

Какое количество водорода находится в баллоне вместимостью 50 м3 при давлении 767 мм.рт.ст. и температуре 18 0С?

Answer 1

T = t+273 = 18+273 = 291°К
Р = 102300 Па.
PV = nRT ⇒ n = PV/RT = (102300×50)/(8,31×291) = 2115,2 моль.
Масса водорода равна 2×10⁻³×2115,2 = 4,23 кг.

Answer 2

Calculation of Hydrogen Volume in a Cylinder

To calculate the amount of hydrogen in a cylinder with a capacity of 50 m³ at a pressure of 767 mmHg and a temperature of 18 °C, we can use the ideal gas law equation:

PV = nRT

Where: - P is the pressure of the gas (in this case, 767 mmHg) - V is the volume of the gas (in this case, 50 m³) - n is the number of moles of the gas - R is the ideal gas constant (0.0821 L·atm/(mol·K)) - T is the temperature of the gas (in Kelvin)

To solve for the number of moles (n), we need to convert the given values to the appropriate units.

1. Convert the pressure from mmHg to atm: - 1 atm = 760 mmHg - Therefore, 767 mmHg = 767/760 atm

2. Convert the temperature from Celsius to Kelvin: - Kelvin = Celsius + 273.15 - Therefore, 18 °C = 18 + 273.15 K

Now we can substitute the values into the ideal gas law equation and solve for n:

n = (PV) / (RT)

Let's calculate the number of moles of hydrogen in the cylinder.

Calculation:

Given: - Volume (V) = 50 m³ - Pressure (P) = 767 mmHg = 767/760 atm - Temperature (T) = 18 °C = 18 + 273.15 K - Ideal gas constant (R) = 0.0821 L·atm/(mol·K)

Substituting the values into the equation:

n = ((767/760) atm * 50 m³) / (0.0821 L·atm/(mol·K) * (18 + 273.15) K)

Calculating the result:

n = ((767/760) * 50) / (0.0821 * (18 + 273.15))

n ≈ 2.084 moles

Therefore, the approximate amount of hydrogen in the cylinder is 2.084 moles.

Please note that this calculation assumes ideal gas behavior and does not take into account any real-world factors that may affect the volume of hydrogen in the cylinder.