An expandable cylinder filled with neon, a monatomic ideal gas, initially has a

Question

An expandable cylinder filled with neon, a monatomic ideal gas, initially has a volume of 5.0 L at 2.0 atm and 35 degrees Celsius. Thermal energy is slowly added to the gas until the volume is 9.5 L but the pressure remains constant. What is kB(Sf - Si), the entropy change during this expansion multiplied by Boltzmann's Constant? WARNING: Beware of units! You should always use - For Volume use Cubic Meters, m3: 1 m3 = 103 L For pressure use Pascals, Pa: 1 atm = 1.01 x 105 Pa For temperature use Kelvin, K: 1 K = 1 oC (same unit "size") but TK = TC + 273 K kB = 1.38 x 10-23 J/Kelvin (but you probably don't need this). Give your answer to 3 digits, in the same units we use for kB, which are Joules/Kelvin

Explanation / Answer

V1 = 4.5 L T1 = 313 K V2 = 8 L T2 = 8X313/4.5 = 556.4 K For gases specific heat capacity Cp (constant pressure ) = 2.5R hence energy change = Cp X (T2-T1) = 5059 J

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