The specific volume of air is: 

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SSC JE Mechanical 14 Nov 2022 Shift 2 Official Paper
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  1. 1.5 cubic metre per kilogram 
  2. 1.25 cubic metre per kilogram
  3. 0.816 cubic metre per kilogram
  4. 1.125 cubic metre per kilogram

Answer (Detailed Solution Below)

Option 3 : 0.816 cubic metre per kilogram
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Detailed Solution

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Concept:

Specific Volume:

\(v = \frac{V}{m} \)

For the air, we can use ideal gas equation

PV = mRT

⇒ V/m = RT/P

Calculation:

Given: For air, m = 1kg, R = 287 J/kg.K, T = 300 K, P = 101.325 kPa

Specific Volume:

⇒ V/m = (287 × 300)/101325 m3/kg 

⇒ V/m  ≈ 0.82 m3/kg 

∵ 1  = 1000 L

⇒ V/m  ≈ 0.82 × 1000 ≈ 820 L/kg 

∵ 1 mL = 1 cm3

⇒ V/m =  0.820 mL/kg 

⇒ V/m ≈ 0.820 cm3/kg

  • The specific volume of air is 820 L/kg.

So, the correct option it (3).

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