Question

Calculate the mass of Kr
in a 9.95 L
cylinder at 91.2 ∘C
and 4.50 bar
.

Answer 1

To calculate the mass of Kr in a cylinder, use the ideal gas law equation to find the number of moles, and then multiply it by the molar mass of Kr.

Step-by-step explanation:

To calculate the mass of Kr in a cylinder, we'll use the ideal gas law equation:
PV = nRT
Where P is the pressure, V is the volume, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature in Kelvin.

First, convert the temperature from Celsius to Kelvin: 91.2°C + 273.15 = 364.35 K. Next, convert the volume from liters to cubic meters: 9.95 L * 0.001 = 0.00995 m3.

Now, rearrange the ideal gas law equation to solve for n, the number of moles:
n = PV / RT
Plug in the given values for pressure, volume, temperature, and the ideal gas constant (R = 0.0831 L bar / mol K), and solve for n. Lastly, multiply the number of moles by the molar mass of Kr (found on the periodic table) to calculate the mass of Kr.

Answer 2

To calculate the mass of Kr in a cylinder, we need to use the ideal gas law equation:

PV = nRT

where:
P = pressure = 4.50 bar
V = volume = 9.95 L
n = number of moles of Kr
R = gas constant = 0.08314 L bar K^-1 mol^-1
T = temperature = 91.2 + 273.15 K = 364.35 K

Rearranging the equation to solve for n:

n = PV/RT

n = (4.50 bar)(9.95 L)/(0.08314 L bar K^-1 mol^-1)(364.35 K)

n = 0.520 mol Kr

To calculate the mass of Kr, we need to use the molar mass of Kr, which is 83.798 g/mol. Therefore:

mass of Kr = n x molar mass

mass of Kr = 0.520 mol x 83.798 g/mol

mass of Kr = 43.544 g

Therefore, the mass of Kr in the cylinder is 43.544 g.