A sealed rigid vessel has volume of 1 m3 and contains 2 kg of water at 100°C. The vessel is now heated. If a safety pressure valve is installed, at what pressure should the valve be set to have a maximum temperature of 200°C?

Respuesta :

Answer:

= 431.3 kPa

Explanation:

  v = V/m = constant

Given that

T₁ = 100C

T₂ = 200C

V = 1m³

m = 2kg

initial volume = V/m

= 1/2

= 0.5m³kg⁻¹

from super heated water

T = 200 and P = 400kpa

specific volume = 0.53422m³kg⁻¹

from super heated water

where, T = 200 and P = 500kpa

specific volume = 0.42492m³kg⁻¹

we use method of  linear interpolation to calculate our final pressure

P₂ = 400 + [tex]\frac{0.5 - 0.53422}{0.42492 - 0.53422} .(500 -400)[/tex]

 = 431.3 kPa

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