A gas in a 57.1 L pressure container at 24.9 °C and 889.8 mm Hg contains ________ moles.
A)32.7
B)2080
C)0.366
D)0.0270
E)2.73

Question

Quizplus · Accepted Answer

To find the number of moles of gas, we can use the ideal gas law equation, PV = nRT, where P is the pressure in atmospheres, V is the volume in liters, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/(mol·K)), and T is the temperature in Kelvin. First, convert the given pressure from mm Hg to atm (1 atm = 760 mm Hg) and the temperature from °C to K (K = °C + 273.15). P = 889.8 mm Hg * (1 atm / 760 mm Hg) = 1.171 atm. T = 24.9 °C + 273.15 = 298.05 K. Plugging these values into the ideal gas law equation and solving for n gives: n = (P*V) / (R*T) = (1.171 atm * 57.1 L) / (0.0821 L·atm/(mol·K) * 298.05 K) ≈ 2.73 moles.

A Gas in a 57