Question

A certain gas has Cp = 1.96 kj/kgk and Cv = 1.5 kj/KgK . find its molecular mass and gas constant. A constant volume chamber of 0.3 m³ capacity contains 2 Kg of this gas at 5 degree Celsius. The heat is transferred to the gas until the temperature is 100 degree Celsius. find the workdone, heat transferred and change in internal energy.
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Answer 1

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Answer 2

Explanation:

Given A certain gas has Cp = 1.96 kj/kgk and Cv = 1.5 kj/KgK . find its molecular mass and gas constant. A constant volume chamber of 0.3 m³ capacity contains 2 Kg of this gas at 5 degree Celsius. The heat is transferred to the gas until the temperature is 100 degree Celsius. find the work done, heat transferred and change in internal energy.

• Given Cp = 1.96 kJ / kg
• Cv = 1.5 kJ/ kg,  
• V = 0.3 m^3,  
• m = 2kg,  
• T1 = 5 degree C = 273 + 5 = 278K
• T2 = 100 degree C = 273 + 100 = 373K
• Gas constant and molecular mass R = Cp – Cv
•                                                                 = 1.96 – 1.5
•                                                                 = 0.46 kJ / kg
• So gas constant Ru = 8.314
•                      M = Ru / R
•                           = 8.314 / 0.46
•                            = 18.07
• here work done is 0
• Therefore heat transferred will be
•                      Q = W + du
•                           = 0 + mCv (T2 – T1)
•                          = 2 x 1.5 x (373 – 278)
•                      Q = 285 kJ

Reference link will be

https://brainly.in/question/7378572