Question: Q 4 a . You are tasked with determining the diameter of a spherical thermocouple junction required to achieve a thermal time constant of one

4

.

You are tasked with determining the diameter of a spherical thermocouple junction required to achieve a thermal time constant of one second for measuring the temperature of a gas stream. Relevant parameters include the heat transfer coefficient of

400

/

^2

,

thermal conductivity of the thermocouple junction of

20

/

,

specific heat capacity of

400

/

,

and density of

8500

/

^3 .

.

You're also asked to calculate the time it takes for the thermocouple junction to reach

198

C when initially at

25

C and placed in a gas stream at

279

.

.

Sketch the schematic of the system with complete labeling

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