Question

Three different scale thermometers are used to determine the temperature of a body. If reading in Fahrenheit scale thermometer is ${77}^{o}F$, then select the correct statement.

• A. Reading in Celsius scale thermometer must be ${37}^{o}C$
• B. Reading in Kelvin scale is $310K$
• C. Reading in Celsius scale is ${298}^{o}C$
• D. Reading in Kelvin scale is $298K$

Answer 1

Answer: (D)

Reading in Kelvin scale is $298K$

$T_{\left(℉\right)}=\frac{9}{5}\left(T_{\left(℃\right)}\right)+32$

$\therefore T_{\left(℃\right)}=\frac{5}{9}(T_{\left(℉\right)}-32)=\frac{5}{9}(77-32)$

$T_{\left(℃\right)}=25℃$

$T_{\left(K\right)}=T_{\left(℃\right)}+273=25+273=298K$

Hence, option D is correct.