Question

exam 4 part 1
question 6 of 13 (1 point) | question attempt: 1 of 1
a piece of silver with a mass 354 g has a heat capacity of 83.9 \\(\frac{\text{j}}{^\circ\text{c}}\\). what is the specific heat of silver? be sure your answer has the correct number of significant digits.
\\(\square \frac{\text{j}}{\text{g} \cdot ^\circ\text{c}}\\)

Explanation:

Step1: Recall the formula for specific heat

The formula for specific heat (\(c\)) is \(c=\frac{C}{m}\), where \(C\) is the heat capacity and \(m\) is the mass.

Step2: Substitute the given values

We know \(C = 83.9\frac{\text{J}}{\text{°C}}\) and \(m = 354\space\text{g}\). Substituting into the formula: \(c=\frac{83.9}{354}\frac{\text{J}}{\text{g·°C}}\).

Step3: Calculate the value

Performing the division: \(\frac{83.9}{354}\approx0.237\frac{\text{J}}{\text{g·°C}}\) (considering significant digits: 83.9 has 3, 354 has 3, so the result should have 3 significant digits).

Answer:

\(0.237\)