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------------------------------------------------ How many grams of a substance (Specific Heat = 1.15 cal/g °C) can be heated from 44 °C to 77 °C if 300 cal are used?

A. 97.5 g
B. 52.3 g
C. 7.9 g
D. 4.5 g

To find the number of grams of the substance that can be heated, use the formula Q = mcΔT and solve for m. Plugging in the given values, we can calculate the mass of the substance to be 8.9 g.

Explanation:

To find the number of grams of the substance that can be heated, we can use the formula:

Q = mcΔT

where:

Q is the heat energy (in calories)
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in cal/g °C)
ΔT is the change in temperature (in °C)

Plugging in the given values:

300 cal = m * 1.15 cal/g °C * (77 °C - 44 °C)

Simplifying the equation:

300 = 33.75m

Dividing both sides by 33.75:

m = 8.89 g

Therefore, the correct answer is 8.9 g.

Learn more about specific heat capacity here:

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