A cylinder containing an ideal gas has a volume of 2.0 m³ and a pressure of 1.0 ´ 10⁵ Pa at a temperature of 300 K.The cylinder is placed against a metal block that is maintained at 900 K and the gas expands as the pressure remains constant until the temperature of the gas reaches 900 K.The change in internal energy of the gas is 6.0 ´ 10⁵ J.Find the change in entropy of the block associated with the heat transfer to the gas.

Question

Quizplus · Accepted Answer

The change in entropy of the block is calculated using ΔS = -Q/T, where Q is the heat transferred to the gas and T is the temperature of the block. Since the pressure is constant, Q = ΔU + W, where ΔU is the change in internal energy and W is the work done by the gas. The work done W = PΔV, and using the ideal gas law, we find ΔV. After calculating Q, we find ΔS = -Q/900 K, resulting in -1 100 J/K.

A Cylinder Containing an Ideal Gas Has a Volume of 2.0