In some cultures water is heated in watertight baskets by placing hot rocks in i

Question

In some cultures water is heated in watertight baskets by placing hot rocks in it. possibly bringing it to a boil What mass, in kilograms, of rock at 500 degree C must be placed in 4.15 kg of 18.5 degree C water to raise its temperature to 100 degree C, if 0.025 kg of water escapes as vapor from the initial sizzle? You may neglect the effects of the surroundings and the heat required to raise the temperature of the vaporized water. Take the average specific heat of the rocks to be that of granite The heat of vaporization of water is L_v = 2556 kJ/kg.

Explanation / Answer

Q_lost = Q_gain

m_r*S_r*dT = m_w*S_W*dT + (m1*Lv)

S_r = specific heat of granite = 840 J/kg C

m_r*840*(500-100) = (4.15*4186*(100-18.5))+(0.025*2556000)

mass of the rock is m_r = 4.403 kg

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