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How much energy is required to raise the temperature of 38.0g of water from 25.0°C to 105.00°C?

A. 45.6 kJ

B. 54.3 kJ

C. 68.7 kJ

D. 73.2 kJ

User Marquette
by
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1 Answer

2 votes

Final answer:

To find the energy required to heat 38.0g of water from 25.0°C to 105.00°C, we calculate using the specific heat capacity formula resulting in 12.7 kJ, which is not among the provided options suggesting a possible typo.

Step-by-step explanation:

The question asks how much energy is required to raise the temperature of 38.0g of water from 25.0°C to 105.00°C. To solve this, we use the formula q = mc∆T, where q is the heat energy, m is the mass of the water, c is the specific heat capacity of water, and ∆T is the change in temperature. Given that the specific heat capacity of water is 4.184 J/g°C, the mass of the water is 38.0 g, and the change in temperature (∆T) is 105.00°C - 25.00°C = 80.00°C, we can calculate the energy required.

Plugging in the values:

q = (38.0 g)(4.184 J/g°C)(80.00°C)

q = 12701.76 J

Since 1 kJ = 1000 J, we have:

q = 12.70176 kJ

Therefore, the closest answer provided in the options is B. 12.7 kJ, which is not listed, indicating there may be a typo in the options provided.

User Inuyaki
by
8.2k points