A monatomic ideal gas undergoes an isothermal expansion at 300 K,as the volume increased from to The final pressure is The ideal gas constant is .The heat transfer to the gas is closest to
A) 3.3 kJ.
B) 1.7 kJ.
C) -3.3 kJ.
D) -1.7 kJ.
E) 0.00 kJ.

Question

A monatomic ideal gas undergoes an isothermal expansion at 300 K,as the volume increased from  to  The final pressure is  The ideal gas constant is  .The heat transfer to the gas is closest to
A) 3.3 kJ. 
B) 1.7 kJ. 
C) -3.3 kJ. 
D) -1.7 kJ. 
E) 0.00 kJ.

Quizplus · Accepted Answer

During the isothermal expansion, the temperature remains constant at 300 K. Therefore, we can use the following formula for the work done by the gas:

W = nRT ln(Vf/Vi)

where n is the number of moles of gas, R is the ideal gas constant, T is the temperature, Vi is the initial volume, and Vf is the final volume.

Using the given values, we can calculate the work done by the gas as:

W = (1)(8.31)(300) ln(11/14) = -3.3 kJ

The negative sign indicates that the work is done by the gas (i.e. the gas expands). Since the process is isothermal, the heat transferred to the gas is equal in magnitude but opposite in sign to the work done by the gas:

Q = -W = 3.3 kJ

Therefore, the heat transfer to the gas is 3.3 kJ, and the closest choice is A) 3.3 kJ.

A Monatomic Ideal Gas Undergoes an Isothermal Expansion at 300