calculate the temperature at which air possesses a density equal to that of hydrogen at 0 degree celsius.Density of air at NTP is 14.4
Calculate the temperature at which air posses the density equal to that of hydrogen at 0 degree .Density of air at Ntp is 14.4
14.4 what? what are the units? So I looked it up on Google and it isn't close to 14.4 anything.
Give me answer
To calculate the temperature at which air possesses a density equal to that of hydrogen at 0 degrees Celsius, we need to use the ideal gas law.
The ideal gas law states that the product of pressure (P) and volume (V) of a gas is directly proportional to the number of moles (n) of gas and its temperature (T), expressed as:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles
R = ideal gas constant (approximately 0.0821 L·atm/(mol·K))
T = temperature
To compare the densities of air and hydrogen, we need to relate the number of moles of each gas to their respective densities.
Given that the density of air at NTP (Normal Temperature and Pressure) is 14.4 g/L, we can calculate the number of moles per liter of air.
First, we need to convert the density of air from grams per liter to moles per liter.
Using the molar mass of air (approximately 28.97 g/mol), we can relate the density (d) and molar mass (M) as:
d = M / V
Rearranging the equation:
M = d * V
Since we want to calculate the number of moles (n) per liter of air, we divide by the molar mass:
n = M / Molar Mass of Air
Using the molar mass of air, we can calculate the number of moles per liter of air.
Next, we can use the molar mass of hydrogen (approximately 2.02 g/mol) and the known density of hydrogen at 0 degrees Celsius to calculate the number of moles per liter of hydrogen.
Finally, setting the number of moles per liter of air equal to the number of moles per liter of hydrogen, we can solve for the temperature (T).
PV = nRT
Solving for T:
T = PV / (nR)
Substituting the values, we can calculate the temperature at which air possesses a density equal to that of hydrogen at 0 degrees Celsius.