Calculate the specific heat of copper if it takes 23 cal to heat a 5.0 g sample from 25 C to 75 C

0.384928 J/g°C

Explanation:

The formula for Specific Heat (C)

= q/m × ∆t

Where q = Heat energy required to heat the compound (in joules)

m = mass of the compound (sample)

∆t = Change in temperature

In the question, we are given the following values.

m = 5.0g

∆t = Change in temperature = 75°C - 25°C

= 50°C

q = Heat energy = 23 cal

We have to convert to joules

One calorie is equal to 4.184 joules.

1 Cal = 4.184 joules

23 Cal =

23 × 4.184 joules

= 96.232 joules

Specific Heat (C) of copper

= 96.232 J /(5g × 50°C)

= 96.232J / 250

= 0.384928 J/g°C

Therefore, the Specific Heat of Copper is 0.384928 J/g°C

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