QuestionMay 3, 2025

Colculate the amount of heat needed to melt 79.7 g of solid benzene (C_(6)H_(6)) and bring it to a temperature of 47.4^circ C Round your answer to 3 significant digits. Also, be sure your answer contains a unit symbol. square

Colculate the amount of heat needed to melt 79.7 g of solid benzene (C_(6)H_(6)) and bring it to a temperature of 47.4^circ C Round your answer to 3 significant digits. Also, be sure your answer contains a unit symbol. square
Colculate the amount of heat needed to melt 79.7 g of solid benzene (C_(6)H_(6)) and bring it to a temperature of 47.4^circ C Round your answer to 3 significant digits.
Also, be sure your answer contains a unit symbol.
square

Solution
4.4(233 votes)

Answer

1.09 \times 10^4 \, \text{J} Explanation 1. Calculate the heat needed to melt benzene Use the formula q = m \cdot \Delta H_f, where m = 79.7 \, \text{g} and \Delta H_f = 127 \, \text{J/g} for benzene. 2. Calculate the heat needed to raise the temperature Use the formula q = m \cdot c \cdot \Delta T, where c = 1.74 \, \text{J/g°C}, \Delta T = 47.4^{\circ}C - 5.5^{\circ}C = 41.9^{\circ}C (melting point of benzene is 5.5^{\circ}C). 3. Sum the total heat required Add the results from Step 1 and Step 2 to find the total heat.

Explanation

1. Calculate the heat needed to melt benzene<br /> Use the formula $q = m \cdot \Delta H_f$, where $m = 79.7 \, \text{g}$ and $\Delta H_f = 127 \, \text{J/g}$ for benzene.<br /><br />2. Calculate the heat needed to raise the temperature<br /> Use the formula $q = m \cdot c \cdot \Delta T$, where $c = 1.74 \, \text{J/g°C}$, $\Delta T = 47.4^{\circ}C - 5.5^{\circ}C = 41.9^{\circ}C$ (melting point of benzene is $5.5^{\circ}C$).<br /><br />3. Sum the total heat required<br /> Add the results from Step 1 and Step 2 to find the total heat.
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