Answer:
24.14 ⁰C
Explanation:
T₀ = initial temperature = 3 °C
R₀ = initial resistance of thermometer at initial temperature = 217.62 Ω
R = Final resistance of thermometer at final temperature = 215.32 Ω
T = final temperature = ?
α = temperature coefficient of resistivity for carbon = - 5.00 x 10⁻⁴ C⁻¹
Final resistance of thermometer at final temperature is given as
R = R₀ (1 + α (T - T₀ ))
Inserting the values
215.32 = 217.62 (1 + (- 5.00 x 10⁻⁴) (T - 3))
T = 24.14 ⁰C