The pressure of a monatomic gas is 233 kPa. The gas is compressed from an initial volume of 0.76 m3 to a final volume of 0.48 m3 while maintaining constant pressure. How much heat flows into or out of the gas

Respuesta :

163.1 KJ of heat flows into the gas.

As the pressure is constant, then it is a isobaric process.

In this process , Heat flows is [tex]Q=nC_{p}[/tex]ΔT

Work done is represented by W = PΔV= nRΔT

γ for monoatomic gas is [tex]\frac{5}{3}[/tex]

So, their ratio is

[tex]\frac{W}{Q}[/tex] = [tex]\frac{R}{C_{P} }[/tex] =  R/γR/γ-1 = [tex]\frac{2}{5}[/tex] ….. (1)

Hence, Ratio of W and Q is 2/5

Now given,

Pressure = 233 kPa = 233000 Pa

ΔV= 0.76-0.48 = 0.28[tex]m^{3}[/tex]

So, W = PΔV = 233000 × 0.28 = 65240J

From equation (1)

[tex]\frac{65240}{Q} =\frac{2}{5}[/tex]

Q = 163100J or 163.1 KJ

As the value of Q is positive so, 163.1 KJ of heat flows into the gas.

Learn about first law of thermodynamics here https://brainly.com/question/15071682

#SPJ4