Practice question
Question
A gas mixture contains 4 g of helium and 32 g of oxygen. What is the total pressure if the volume is 22.4 litres at 273 K? (R = 8.31 J mol^{-1 K^{-1)
Explanation
Given:
A gas mixture contains 4 g of helium and 32 g of oxygen. What is the total pressure if the volume is 22.4 litres at 273 K? (R = 8.31 J mol^{-1 K^{-1)
These values define the system as per NCERT data.
Formula:
μ_{He = 4/4 = 1 mol, μ_{O_2 = 32/32 = 1 mol.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Total moles = 1 + 1 = 2 mol, V = 22.4 × 10â»Â³ m³. P = μ R T/V = frac2 × 8.31 × 27322.4 × 10â»Â³= 2.02 × 10âµ Pa approx 2 atm .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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