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HACTEHA [7]
3 years ago
7

A 2-kg mass of helium is maintained at 300 kPa and 278C in a rigid container. How large is the container, in m3?

Engineering
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

3.849 m^{3}

Explanation:

Assuming that helium behaves as an ideal gas and taking gas constant of helium as  

R=2.0769 kJ/KgK

From ideal gas equation

PV=mRT and making V the subject then

V=\frac {mRT}{P}

Where m is the mass, V is the volume, P is pressure, T is temperature in Kelvin

Substituting the figures given in the question then

V=\frac {2\times 2.0769\times 278}{300}=3.849188
\approx 3.849 m^{3}

Therefore, volume of container is 3.849 m^{3}

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A hypothetical metal alloy has a grain diameter of 2.4 × 10−2 mm. After a heat treatment at 575°C for 500 min, the grain diamete
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Answer:

The time required is 10.078 hours or 605 min

Explanation:

The formula to apply here is ;

K=(d²-d²₀ )/t

where t is time in hours

d is grain diameter to be achieved after heating in mm

d₀ is the grain diameter before heating in mm

Given

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First find K

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K={ (5.1 × 10^-2 mm)²-(2.4 × 10−2 mm)² }/ 25/3

K=(0.051²-0.024²) ÷25/2

K=0.000243 mm²/h

Re-arrange equation for K ,to get the equation for d as;

d=√(d₀²+ Kt)  where now t=t₂

d=\sqrt{0.024^2+0.000243*t} \\\\0.055=\sqrt{0.024^2+0.000243t} \\\\0.055^2=0.024^2+0.000243t\\\\0.055^2-0.024^2=0.000243t\\\\0.002449=0.000243t\\\\0.002449/0.000243=t\\\\10.078=t\\\\t=605min

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