A 30 L vessel at 27°C contains a mixture of 8 g O₂, 14 g N₂ and 22 g CO₂. Find pressure in units of 10⁵ N/m² (R=8.314 J mol⁻¹ K⁻¹).
Physics · Mixed Chapter
JEE Main Practice

Question

A 30 L vessel at 27°C contains a mixture of 8 g O₂, 14 g N₂ and 22 g CO₂. Find pressure in units of 10⁵ N/m² (R=8.314 J mol⁻¹ K⁻¹).

G1 Physics · Accepted Answer

Step 1: Moles: n_O₂=8/32=0.25 mol, n_N₂=14/28=0.5 mol, n_CO₂=22/44=0.5 mol. Total n=1.25 mol. Step 2: Temperature T=27+273=300 K, volume V=30×10⁻³=0.030 m³. Step 3: Ideal-gas mixture pressure P=nRT/V=(1.25)(8.314)(300)/0.030≈1.039×10⁵ Pa. Step 4: In units of 10⁵ N/m² the answer is ≈1.04, NOT printed key 3. Source problem/key discrepancy; do not force answer to 3.