Final answer:
To calculate the volume of nitrogen gas formed by the decomposition of sodium azide, use the ideal gas law equation PV = nRT. Convert the temperature to Kelvin, calculate the moles of sodium azide, and substitute the values into the equation to find the volume. Option a
Step-by-step explanation:
To calculate the volume of nitrogen gas produced by the decomposition of sodium azide (NaN₃), you need to use the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in L)
n = moles
R = ideal gas constant (0.0821 L·atm/(mol·K))
T = temperature (in K)
First, convert the given temperature from °C to K:
T = 27 °C + 273.15 = 300.15 K
Next, calculate the moles of nitrogen gas produced from the given mass of sodium azide using its molar mass:
125 g NaN₃ * (1 mol NaN₃ / 65 g) = 1.923 mol NaN₃
Then, substitute the values into the ideal gas law equation:
(756 torr)(V) = (1.923 mol)(0.0821 L·atm/(mol·K))(300.15 K)
Solve for V:
V = (1.923 mol)(0.0821 L·atm/(mol·K))(300.15 K) / (756 torr) = 4.50 L
Therefore, the volume of nitrogen gas formed by the decomposition of 125 g of sodium azide at 27 °C and 756 torr is 4.50 L. Option a