Question

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(c) An ideal gas with an adiabatic exponent γ undergoes a process where its molar heat capacity varies as C aT-1, where α is constant A2. (a) The volume of the mercury-in-glass thermometer is 0.5 cm3 at 0°C and the -100°C) and lower (To = 0°C) fixed points is 15 cm. By using the value for the coefficient of the volume expansion of mercury aHg-1.8 × 10-4 K-1, and the value for the coefficient of the linear expansion of glass a1 = 8 10-6 K-1, calculate the diameter of the stem of the thermometer distance between upper (T1oo (a) It is known that the temperature in the room is +20C when the outdoor temperature is -20°C, and +10°C when the outdoor temperature is -40°C Determine the temperature T of the radiator heating the room

Answer 1

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Given thet 41 H9 Let detihe expainaion coeficieti ar- chage in valume V AT V→ valume L 4T △L → Change in Length. 33.57x,53cm') sv ะ cha mo in volume 14 mchangs in lenath

L, 드 15.044 cn Change volume Cross Rection aec VA /A one ran sef 33-5 3357지; 3.CHn3 2 49. 2496 cm 2× 2.66 X) 5 311 Dat metered D 58.3 m Colum, = 53-3 mh,

pand Tr 'ascume , Room Temperahx given (inile ナhe )oom 7, equi linnm Ter.mahne-, bom eran 253 k 2 33K Asetter For caneT (253-293); 良93-T) Before Afler sotre th For Cane T As tee T= 233-2x293 333 K Hente fudljidos uworking on 6 G
In first file, last two equation governs the process.

In second and third page, calculation shows that diameter of cross section is 53.3 cm and in last page is the calculation of radiator temperature.