Two substances, A and B, initially at different temperatures, come into contact

Question

Two substances, A and B, initially at different temperatures, come into contact and reach thermal equilibrium. The mass of substance A is 6.31 g and its initial temperature is 20.2 C. The mass of substance B is 25.1 g and its initial temperature is 52 4C. The final If the specific heat capacity of substance B is 1.17 J/g.° C, what is the specific heat capacity of substance A? temperature of both substances at thermal equilibrium is 46.2C temperature of both substances at thermal equilibrium is 46.2°C J/g. C Submit My Answers Give Up ncorrect, Try Again; 5 attempts remaining

Explanation / Answer

Use the formula

Q = m x c x deltaT

m = mass of the substance

c = heat capacity of the substance

delta T = change in temperature with thermal temperature

but here heat lost by substance B = heat gained by substance A

because substance B is at high temperature

m x c x deltaT of substance A = m x c x deltaT of substance B

6.31 g x c x (46.2 - 20.2 ºC) = 25.1 g x 1.17 J/ g ºC x (52.4 -46.2 ºC)

164.06 x c = 182.075

c = 182.075 / 164.06

c = 1.11 J / g ºC

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