Question

a piece of silver with a mass 393 g has a heat capacity of 93.1 j/°c. what is the specific heat of silver? be sure your answer has the correct number of significant digits. j/g·°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 are given \( C = 93.1\frac{\text{J}}{\text{°C}} \) and \( m = 393\text{ g} \). Substituting these into the formula, we get \( c=\frac{93.1\frac{\text{J}}{\text{°C}}}{393\text{ g}} \).

Step3: Perform the division

Calculating the division: \( \frac{93.1}{393}\approx0.237\frac{\text{J}}{\text{g}\cdot\text{°C}} \). We consider significant digits: 93.1 has 3 significant digits, 393 has 3 significant digits, so the result should have 3 significant digits.

Answer:

\( 0.237 \)