Open Question
A metal is thought to be titanium or aluminum. When 4.7 g of the metal absorbs 11 J, its temperature rises by 4.5 °C. (3.6)b. Would you identify the metal as titanium or aluminum (seeTABLE3.11)?
7. Energy, Rate and Equilibrium
Heat Capacity
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A sample of copper absorbs 3.53 kJ of heat, which increases the temperature by 25 ºC, determine the mass (in kg) of the copper sample if the specific heat capacity of copper is 0.385 J / g ºC.
A
0.73 kg
B
0.35 kg
C
0.37 kg
D
0.53 kg
Verified step by step guidance1
Start by understanding the formula for heat transfer: \( q = m \cdot c \cdot \Delta T \), where \( q \) is the heat absorbed, \( m \) is the mass, \( c \) is the specific heat capacity, and \( \Delta T \) is the change in temperature.
Convert the heat absorbed from kilojoules to joules. Since 1 kJ = 1000 J, multiply 3.53 kJ by 1000 to get the heat in joules.
Rearrange the formula to solve for mass \( m \): \( m = \frac{q}{c \cdot \Delta T} \). Substitute the values: \( q = 3530 \) J, \( c = 0.385 \) J/g°C, and \( \Delta T = 25 \) °C.
Calculate the mass in grams using the rearranged formula. This will give you the mass of the copper sample in grams.
Convert the mass from grams to kilograms by dividing the result by 1000, since 1 kg = 1000 g. This will give you the mass of the copper sample in kilograms.
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