Questions: Raising the temperature of 12.0 g of water from 10.0°C to 22.0°C requires 105.0 joule of energy; however, raising the temperature of 12.0 g of copper for the same temperature range requires 22.0 joule. Why is more energy required to heat the water?
- water has a larger specific heat capacity than copper
- water has larger volume
- water has larger density
- copper has a larger volume
- water has higher potential energy
Transcript text: Raising the temperature of 12.0 g of water from $10.0^{\circ} \mathrm{C}$ to $22.0^{\circ} \mathrm{C}$ requires 105.0 joule of energy; however, raising the temperature of 12.0 g of copper for same temperature range requires 22.0 joule. Why is more energy required to heat the water?
water has a larger specific heat capacity than copper
water has larger volume
water has larger density
copper has a larger volume
water has higher potential energy
Solution
Solution Steps
Step 1: Understanding Specific Heat Capacity
The specific heat capacity of a substance is the amount of heat required to raise the temperature of one gram of the substance by one degree Celsius.
Step 2: Comparing Energy Requirements
Given that 12.0 g of water requires 105.0 joules to increase its temperature from \(10.0^{\circ} \mathrm{C}\) to \(22.0^{\circ} \mathrm{C}\), while 12.0 g of copper requires only 22.0 joules for the same temperature change, it indicates that water requires more energy per gram per degree Celsius.
Step 3: Identifying the Correct Reason
The reason more energy is required to heat the water is because water has a larger specific heat capacity compared to copper. This means water can absorb more heat energy without a significant change in temperature.
Final Answer
\(\boxed{\text{water has a larger specific heat capacity than copper}}\)