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0.235 moles of a diatomic gas expands doing 205 J of work while the temperature drops 88 K. Find Q.? (Unit=J)

Respuesta :

Answer:

The heat exchange in the given process = -806.79 J

Explanation:

0.235 moles of a diatomic gas expands doing 205 J of work while the temperature drops 88 K.

Number of moles , n = 0.235

Temperature difference = 88 K

According to conservation of energy,

ΔQ = ΔU + ΔW

We are given the amount of work done and we have to find the heat exchange in the process.

[tex]C_{v} = \frac{7R}{2}[/tex] = [tex]3.5\times 8.314[/tex] = 29.1

ΔU = [tex]n\times C_{v}\times[/tex]ΔT

ΔU = [tex]0.235\times 29.1\times (-88)[/tex] = -601.79 J

Work done by the gas = -205 J

ΔQ = ΔU + ΔW

Substituting the values,

ΔQ = -601.79 + -205 = -806.79 J

The heat exchange in the given process = -806.79 J

The correct answer is -225 J.