Question

Thermo emf produced per $1^{0}C$ temperature difference between the thermocouple junctions is 0.005V. When cold junction is at ${10}^{0}C$, and hot junction is at $t^{0}C$, thermo emf produced is 0.5 V. The value of 't' is:

• A. ${100}^{0}C$
• B. ${90}^{0}C$
• C. ${110}^{0}C$
• D. ${55}^{0}C$

Answer 1

The correct option is C ${110}^{0}C$

Given:

Thermo emf$\left(\Delta e\right)$ produced per $1^0$ $C$ = 0.005 $V$

When cold junction is at ${10}^0$ $C$ and hot junction is at $t^0$ $C$, thermo emf$\left(\Delta E\right)$ produced is 0.5 $V$.

$\Delta e$ $\times$ $\Delta T$ $=$ $\Delta E$

$0.005$ $V$ ${}^0{C}^{-1}$ $\times$ $(t$ $-$ $10{}^{0}C)$ $=$ $0.5$ $V$

$t$ $-$ $10{}^{0}C$ $=$ $\frac{0.5}{0.005}$ ${}^{0}C$

$t$ $=$ ${100}^{0}C$ $+$ ${10}^{0}C$

$t$ $=$ ${110}^{0}C$

Therefore, the correct option is C