A cylinder of nitrogen gas has a volume of 15,000cm cubed and pressure of 100 at

Question

A cylinder of nitrogen gas has a volume of 15,000cm cubed and pressure of 100 atm. a) What is thermal energy of this gas at 20 degrees Celsius?
b) The valve is opened and the gas is allowed to expand slowly and isothermally to a pressure of 1 atm. What is the change in the thermal energy of the gas? A cylinder of nitrogen gas has a volume of 15,000cm cubed and pressure of 100 atm. a) What is thermal energy of this gas at 20 degrees Celsius?
b) The valve is opened and the gas is allowed to expand slowly and isothermally to a pressure of 1 atm. What is the change in the thermal energy of the gas? a) What is thermal energy of this gas at 20 degrees Celsius?
b) The valve is opened and the gas is allowed to expand slowly and isothermally to a pressure of 1 atm. What is the change in the thermal energy of the gas?

Explanation / Answer

Hi,

A) pV = nRT
n = (pV)/RT
= 63 moles

E_th = nC_vT (where C_v = 5/2R since nitrogen is a diatomic gas)
= 63 moles * 5/2 (8.314) * (20+273.15)
= 379981 J

B) There is never a change in thermal energy with isothermal changes.

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