A block of dry ice (solid CO₂, density = 1.56 g/mL) of dimensions 25.0 cm * 25.0 cm * 25.0 cm is left to sublime (i.e. to pass from the solid phase to the gas phase) in a closed chamber of dimensions 4.00 m * 5.00 m *3.00 m. The partial pressure of carbon dioxide in this chamber at 25^$\circ$C will be A) 0.171 mmHg B) 0.225 mmHg C) 14.4 mmHg D) 107 mmHg E) 171 mmHg

Question

Quizplus · Accepted Answer

The volume of the dry ice block is 25.0 cm * 25.0 cm * 25.0 cm = 15625 cm³ = 15.625 L. The mass of the dry ice is 15.625 L * 1.56 g/mL = 24,375 g. The number of moles of CO₂ is 24,375 g / 44.01 g/mol = 554.1 mol. The volume of the chamber is 4.00 m * 5.00 m * 3.00 m = 60,000 L. Using the ideal gas law, PV = nRT, with R = 0.0821 L·atm/mol·K and T = 298 K, the pressure P = (554.1 mol * 0.0821 L·atm/mol·K * 298 K) / 60,000 L = 0.225 atm = 171 mmHg.

A Block of Dry Ice (Solid CO2, Density = 1 ∘\circ∘

A Block of Dry Ice (Solid CO₂, Density = 1 $\circ$