A sample of krypton gas collected at a pressure of 1.30 atm and a temperature of 17.0 °C is found to occupy a volume of 24.7 liters. How many moles of Kr gas are in the sample?
To find the number of moles of krypton gas in the sample, we can use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature (in Kelvin)
First, we need to convert the temperature from Celsius to Kelvin:
T = 17.0 + 273.15
T = 290.15 K
Now, we can plug in the values into the ideal gas law equation:
(1.30 atm)(24.7 L) = n(0.0821 L.atm/mol.K)(290.15 K)
31.91 = 23.823n
n = 31.91 / 23.823
n ≈ 1.34 moles
Therefore, there are approximately 1.34 moles of krypton gas in the sample.