How much heat is needed to raise the temperature of 255g of water from 25.5oC to 95.0oC?


Screenshot 2024 01 18 180813

Screenshot 2024 01 18 180813

Given data: m = 255 g

ΔT = (95°C – 25.5°C) = 69.5°C

Find: we need to find how much heat is needed to raise the temperature.

Explanation:

To calculate the amount of heat needed to raise the temperature of water, we can use the formula:

Q = m c ΔT

Step 2 of 2

By using the formula, Q = m c ΔT

Where:

Q is the heat energy (in joules),

m is the mass of water (in grams),

c is the specific heat capacity of water (approximately 4.18 J/g·°C), and

ΔT is the change in temperature (in °C).

Plugging these values into the formula, we get:

Q=255×4.1869.5

Calculating this equation gives us:

Q=74,685 J

Explanation:

Hence, by using the formula Q = m c ΔT we have calculated the amount of heat needed.

Final solution

Therefore, approximately 74,685 joules (J) of heat energy is needed to raise the temperature of 255 grams of water from 25.5°C to 95°C.

 

 

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