Question

Определите объем 100г водорода находящихся в сосуде при температуре 127°c и давлении 80 кПа

Answer 1

Дано:
H₂
m=100г =0,1кг
T=127°С =400К
p=80кПа = 80 000Па
M=0,002кг/моль
найти:
V=?
Решение:
pV=mRΔT/M
V =mRT/Mp
V =0,1кг×8,3Дж/(моль·К)×400К / (0,002кг/моль×80 000Па) = 2,075м³
Ответ: 2,075м³

Answer 2

Calculation of the Volume of Hydrogen Gas

To determine the volume of 100g of hydrogen gas at a temperature of 127°C and a pressure of 80 kPa, we can use the ideal gas law equation:

PV = nRT

Where: - P is the pressure of the gas (in Pa) - V is the volume of the gas (in m³) - 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)

First, we need to convert the given temperature from Celsius to Kelvin:

T(K) = T(°C) + 273.15

So, the temperature in Kelvin is:

T(K) = 127 + 273.15 = 400.15 K

Next, we need to convert the pressure from kilopascals (kPa) to pascals (Pa):

P(Pa) = P(kPa) * 1000

So, the pressure in pascals is:

P(Pa) = 80 * 1000 = 80,000 Pa

Now, we can rearrange the ideal gas law equation to solve for the volume (V):

V = (nRT) / P

To find the volume, we need to know the number of moles of hydrogen gas. To calculate the number of moles, we can use the molar mass of hydrogen, which is approximately 2 g/mol.

n = m / M

Where: - n is the number of moles - m is the mass of the gas (in grams) - M is the molar mass of the gas (in grams/mol)

In this case, the mass of hydrogen gas is given as 100g, so:

n = 100g / 2 g/mol = 50 mol

Now, we can substitute the values into the equation:

V = (nRT) / P = (50 mol * 8.314 J/(mol·K) * 400.15 K) / 80,000 Pa

Calculating this expression will give us the volume of hydrogen gas in cubic meters (m³).

Please note that the given search results did not provide a direct answer to this specific question. However, the calculation is based on the ideal gas law, which is a fundamental principle in gas physics.