Textbook 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)?
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3. Matter and Energy
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
Identify the given values: heat absorbed (q) = 3.53 kJ, temperature change (ΔT) = 25 ºC, and specific heat capacity (c) = 0.385 J/g·ºC.
Convert the heat absorbed from kilojoules to joules: 1 kJ = 1000 J, so multiply 3.53 kJ by 1000 to get the value in joules.
Use the formula for heat transfer: q = m * c * ΔT, where q is the heat absorbed, m is the mass, c is the specific heat capacity, and ΔT is the temperature change.
Rearrange the formula to solve for mass (m): m = q / (c * ΔT).
Substitute the known values into the rearranged formula and solve for the mass in grams. Finally, convert the mass from grams to kilograms by dividing by 1000.
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