Question

if 1 mole of nitrogen gas doe 3200 j of work as it explands adiabatically, what is tis change in temeprature

Answer 1

The change in temperature for an adiabatic expansion of one mole of nitrogen gas doing 3200 J of work is -109.62 K.

Step-by-step explanation:

For an adiabatic expansion of an ideal gas, the change in temperature can be calculated using the equation:

ΔT = -W/(nCv)

where:

ΔT is the change in temperature (K)

W is the work done (J)

n is the number of moles of gas

Cv is the molar heat capacity at constant volume (J/mol·K)

For nitrogen gas, Cv = 29.1 J/mol·K. Plugging in the given values, we get:

ΔT = -3200 J / (1 mol * 29.1 J/mol·K) = -109.62 K

Therefore, the change in temperature is -109.62 K.