Some very hot rocks have a temperature of $210^{o} C$ $210 ^o C$ and a specific heat of $150 \frac{J}{K g \cdot K}$ $150 J/(Kg*K)$ . The rocks are bathed in $121 L$ $121 L$ of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

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Some very hot rocks have a temperature of $210^{o} C$ $210 ^o C$ and a specific heat of $150 \frac{J}{K g \cdot K}$ $150 J/(Kg*K)$ . The rocks are bathed in $121 L$ $121 L$ of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

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Answer 1 · 2017-08-09T18:04:05

30384 kg

Explanation:

121L of water is at 100°C. Mass of water ( $m_{2}$ $m_2$ ) = Volume of water $\times$ $xx$ Density
$m_{2} = 121 L \times 1 k g L^{- 1} = 121 k g$ $m_2 = 121L xx 1 kgL^-1 = 121 kg$

121kg of water is completely vaporised. For this heat absorbed by water is $m_{2} L$ $m_2L$ where L = latent heat of vapourisation of water. It’s value is 2260 kJ/kg

Heat released by rocks = Heat absorbed by water

$m_1 S ΔT = m_2 L$

$m_1 = (m_2 L) / (S ΔT)$

$m_1 = (121kg xx 2260 kJ*kg^-1) / (0.150 kJkg^-1K^-1 * 60K)$

$m_1 = 30384 kg$

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Some very hot rocks have a temperature of $210^{o} C$ $210 ^o C$ and a specific heat of $150 \frac{J}{K g \cdot K}$ $150 J/(Kg*K)$ . The rocks are bathed in $121 L$ $121 L$ of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

1 Answer

Explanation:

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Math

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Some very hot rocks have a temperature of 210 ^o C210oC210 ^o C and a specific heat of 150 J/(Kg*K)150JKg⋅K150 J/(Kg*K). The rocks are bathed in 121 L121L121 L of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?

1 Answer

Explanation:

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Impact of this question

Some very hot rocks have a temperature of $210^{o} C$ $210 ^o C$ and a specific heat of $150 \frac{J}{K g \cdot K}$ $150 J/(Kg*K)$ . The rocks are bathed in $121 L$ $121 L$ of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?