Question

Based on their specific heat values, compare the amounts of energy it would take to increase the temperature of a kg of benzene and a kg of methyl alcohol by 5 degrees Celsius.
Question 6 options:

A)

It would take more energy to increase the temperature of benzene.

B)

Both would require much more energy than a kg of water to increase.

C)

Neither can increase temperature unless they change to a solid state first.

D)

It would take more energy to increase the temperature of methyl alcohol.

Answer 1

To answer the question, let's first look at the specific heat capacities of benzene and methyl alcohol.

1. **Benzene (C6H6)** has a specific heat capacity of approximately **1.74 J/g°C**.
2. **Methyl alcohol (methanol, CH3OH)** has a specific heat capacity of approximately **2.51 J/g°C**.

Now, we need to compare the amount of energy required to raise the temperature of 1 kg (1000 g) of each substance by 5 degrees Celsius.

### Energy Calculation

**For benzene:**
- Energy (Q) = mass (m) × specific heat (c) × temperature change (ΔT)
- \( Q_{benzene} = 1000 \, \text{g} \times 1.74 \, \text{J/g°C} \times 5 \, \text{°C} \)
- \( Q_{benzene} = 8700 \, \text{J} \)

**For methyl alcohol:**
- \( Q_{methanol} = 1000 \, \text{g} \times 2.51 \, \text{J/g°C} \times 5 \, \text{°C} \)
- \( Q_{methanol} = 12550 \, \text{J} \)

### Comparison

From the calculations:
- Energy required for benzene: 8700 J
- Energy required for methyl alcohol: 12550 J

Now let's analyze the answer choices based on this information:

A) It would take more energy to increase the temperature of benzene.
(*This is false because it takes less energy to heat benzene compared to methyl alcohol.*)

B) Both would require much more energy than a kg of water to increase.
(*This is somewhat misleading as water has a specific heat of 4.18 J/g°C. Even though both substances require more energy than benzene to raise the same mass, it's an incorrect comparison with water.*)

C) Neither can increase temperature unless they change to a solid state first.
(*This is incorrect as both substances can increase in temperature without changing their state.*)

D) It would take more energy to increase the temperature of methyl alcohol.
(*This is true because 12550 J for methanol is more than 8700 J for benzene.*)

### Conclusion
The correct answer is **D) It would take more energy to increase the temperature of methyl alcohol.**