What volume in liters is occupied by 8.22 g of SO₂ gas confined at a pressure of 1200 torr at 75.0 $\circ$ C? (hint: R = 0.0821 liter atm/mol K)

Question

Quizplus · Accepted Answer

First, convert the given temperature from Fahrenheit to Kelvin:

T = (75.0°F + 459.67) × (5/9) = 297.59 K

Next, use the ideal gas law to solve for volume:

PV = nRT

n = m/MW = 8.22 g / (32.066 g/mol) = 0.25626 mol

R = 0.0821 L·atm/(mol·K)

P = 1200 torr = 1200/760 = 1.5789 atm

V = nRT/P = (0.25626 mol)(0.0821 L·atm/(mol·K))(297.59 K)/(1.5789 atm) = 2.32 L

Therefore, the volume occupied by the gas is 2.32 liters, so the answer is choice C.

What Volume in Liters Is Occupied by 8 ∘\circ∘ C? (Hint: R = 0