Question

What is the specific heat of a substance that absorbs 2.5 x 10 3joules of heat when a sample of 1.0 x 10 4g of the substance increases in temperature from 10.0°C to 70.0°C?

Answers

GPT 3.5
The formula to calculate the specific heat is:

q = m * c * ΔT

where:
q is the heat absorbed/released (in joules),
m is the mass of the substance (in grams),
c is the specific heat (in J/g°C), and
ΔT is the change in temperature (in °C).

Given:
q = 2.5 x 10^3 J
m = 1.0 x 10^4 g
ΔT = (70.0°C - 10.0°C) = 60.0°C

Rearranging the equation:
c = q / (m * ΔT)

Calculating the specific heat:
c = (2.5 x 10^3 J) / (1.0 x 10^4 g * 60.0°C)
c ≈ 4.17 J/g°C

Therefore, the specific heat of the substance is approximately 4.17 J/g°C.

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