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If the specific heat of methanol is 2.51 j/g·k, how many joules are necessary to raise the temperature of 50.0 g of methanol from 20.0 °C to 60.0 °C?

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Final answer:

To raise the temperature of 50.0 g of methanol from 20.0 °C to 60.0 °C, it would take 5020 joules of heat energy.

Step-by-step explanation:

To calculate the amount of heat energy required to raise the temperature of methanol, we can use the equation:

q = m * c * ΔT

where q is the heat energy, m is the mass, c is the specific heat, and ΔT is the change in temperature.

Given:
Specific heat of methanol (c) = 2.51 J/g·°C
Mass of methanol (m) = 50.0 g
Change in temperature (ΔT) = (60.0 °C - 20.0 °C) = 40.0 °C

Substituting these values into the equation, we have:

q = 50.0 g * 2.51 J/g·°C * 40.0 °C

Calculating this gives us:

q = 50.0 g * 2.51 J/g·°C * 40.0 °C = 5020 J

Therefore, it would take 5020 joules of heat energy to raise the temperature of 50 grams of methanol from 20.0 °C to 60.0 °C.

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