A frictionless piston–cylinder device contains 5 kg of nitrogen at 100 kPa and 250 K. Nitrogen is now compressed slowly according to the relation PV1.4 = constant until it reaches a final temperature of 450 K. Calculate the work input during this process

The work input during this process is -742 kJ

Explanation:

Given;

Initial temperature of nitrogen T₁ = 250 K

final temperature of nitrogen T₂ = 450 K

mass of nitrogen, m = 5 kg

The work input during the process is calculated as;

where;

R is gas constant = 0.2968 kJ/kgK

substitute given values in above equation.

Therefore, the work input during this process is -742 kJ

The work input during this process is -742kJ

The formula for calculating the work input during the process is expressed as:

Since

n = 1.4

R is gas constant = 0.2968 kJ/kgK

mass of nitrogen = 5kg

Substitute the given parameters into the formula:

Hence the work input during this process is -742kJ

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