A given quantity of heat increases the temperature of 150grams of water from 9°C to 15°C and increases the temperature of oil of 100grams from 9°C to 25°C. The ratio of the specific heat of oil to that of water is

JAMB 1980

A given quantity of heat increases the temperature of 150grams of water from 9°C to 15°C and increases the temperature of oil of 100grams from 9°C to 25°C. The ratio of the specific heat of oil to that of water is

A. 0.36

B. 0.46

C. 0.56

D. 0.76

E. 0.86

Correct Answer: Option C

Explanation

Heat lost = heat gained

(MCΔθ)o = (MCΔθ)w

100 x Co x (25 – 9) = 150 x Cw x (15 – 9)

1600Co = 900Cw

Divide both sides by 1600Cw

1600Co/1600Cw = 900Cw/1600Cw

Co/Cw = 0.56

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