Two thermo flasks of volume Vx and Vy are filled with liquid water at an...

JAMB 1985

Two thermo flasks of volume Vx and Vy are filled with liquid water at an initial temperature of 0^oC. After sometime the temperature were found to be 9x, 9y, respectively. Given that \(\frac{Vx}{Vy}\) = 2 and \(\frac{\theta x}{\theta y}\) = \(\frac{1}{2}\) the ratio of the heat flow into the flask is

A. \(\frac{1}{4}\)
B. \(\frac{1}{2}\)
C. 4
D. 1
E. 2

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Correct Answer: Option D

Explanation

Heat = mc\(\theta\)

H_x = D_x x V_x x C_x x \(\theta\)_x

H_y = D_y x V_y x C_y x \(\theta\)_y

\(\frac{H_x}{H_y}\) = \(\frac{D_x \times V_x \times C_x \times \theta_x}{D_x \times V_x \times C_x \times \theta_x}\)

= 2 x \(\frac{1}{2}\)

= 1

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