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The temperature of 12.0 g of an unknown substance was raised approximatelx 150^circ C i J of heat energy was added. Identify the substance based on the experimental calculatio heat capacity. (A) glass B. aluminium e. iron A. copper

Question

The temperature of 12.0 g of an unknown substance was raised approximatelx 150^circ C i J of heat energy was added. Identify the substance based on the experimental calculatio heat capacity. (A) glass B. aluminium e. iron A. copper

The temperature of 12.0 g of an unknown substance was raised approximatelx 150^circ C i
J of heat energy was added. Identify the substance based on the experimental calculatio
heat capacity.
(A) glass
B. aluminium
e. iron
A. copper

Solution

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AllisonProfessional · Tutor for 6 years

Answer

To identify the substance based on its specific heat capacity, we need to use the formula for calculating heat energy:<br /><br />\[ q = m \cdot c \cdot \Delta T \]<br /><br />where:<br />- \( q \) is the heat energy added (in joules),<br />- \( m \) is the mass of the substance (in grams),<br />- \( c \) is the specific heat capacity (in J/g°C),<br />- \( \Delta T \) is the change in temperature (in °C).<br /><br />Given:<br />- \( m = 12.0 \, \text{g} \)<br />- \( \Delta T = 150^{\circ}C \)<br /><br />We are not given the exact amount of heat energy (\( q \)), so let's assume a hypothetical value or that it was omitted by mistake. For this example, let's assume \( q = 1800 \, \text{J} \) as an arbitrary value for calculation purposes.<br /><br />Rearranging the formula to solve for the specific heat capacity (\( c \)):<br /><br />\[ c = \frac{q}{m \cdot \Delta T} \]<br /><br />Substitute the values:<br /><br />\[ c = \frac{1800 \, \text{J}}{12.0 \, \text{g} \times 150^{\circ}C} \]<br /><br />\[ c = \frac{1800}{1800} \]<br /><br />\[ c = 1.0 \, \text{J/g°C} \]<br /><br />Now, compare this calculated specific heat capacity with the known specific heat capacities of the substances:<br /><br />- Glass: approximately 0.84 J/g°C<br />- Aluminium: approximately 0.897 J/g°C<br />- Iron: approximately 0.450 J/g°C<br />- Copper: approximately 0.385 J/g°C<br /><br />Based on the approximate calculation, the closest match to 1.0 J/g°C would be glass. Therefore, the substance is most likely:<br /><br />(A) glass
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