A 1.44-g sample of an unknown pure gas occupies a volume of 0.336 L at a pressure of 1.00 atm and a temperature of 100.0 degrees Celsius. What is the unknown gas?
To determine the unknown gas, we need to use the ideal gas law equation, which is expressed as:
PV = nRT
Where:
P = pressure (in atmospheres)
V = volume (in liters)
n = number of moles of gas
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in Kelvin)
First, let's convert the given temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 100.0 °C + 273.15 = 373.15 K
Now we can rearrange the ideal gas law equation to solve for the number of moles (n):
n = (PV) / (RT)
n = (1.00 atm * 0.336 L) / (0.0821 L·atm/(mol·K) * 373.15 K)
Please calculate the value to find the number of moles of the gas.