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In setting up an aquarium, the heater transfers 1500 J of heat to 750 g of water. What is the increase in the water's temperature?

User Charly Rl
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Final answer:

The increase in temperature of the water can be calculated using the formula Q = mcΔT, where Q is the heat transfer, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature. Plugging in the values, we find that the increase in temperature is approximately 45.47°C.

Step-by-step explanation:

The increase in temperature of water can be calculated using the formula:

Q = mcΔT

Where:

Q is the heat transfer in joules

m is the mass of water in kilograms

c is the specific heat capacity of water, which is 4.184 J/g·°C

ΔT is the change in temperature in degrees Celsius

Given that Q = 1500 J, m = 750 g = 0.75 kg, and we need to find ΔT, we can rearrange the formula as:

ΔT = Q / (mc)

Plugging in the values, we get:

ΔT = 1500 J / (0.75 kg x 4.184 J/g·°C)

Simplifying the equation, we find that the increase in temperature is approximately 45.47°C.

User Stephanus Mostert
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