Question

A metal with a specific heat of 0.780 J/gC requires 45.0J of a heat to raise the temperature by 2.00C. What is the mass of the metal?

Answer 1

The mass of the metal = 28.8 g

Step-by-step explanation

Given:

Specific heat of the metal = 0.780 J/g⁰C

Quantity of heat required, Q = 45.0 J

Temperature raise, ΔT = 2.00 ⁰C

What to find:

The mass (m) of the metal.

Step-by-step solution;

Using Q = mcΔT, the mass (m) of the metal can be calculated.

`\begin{gathered} 45.0\text{ }J=m*0.780\text{ }J\text{/}g⁰C*2.00\text{ }⁰C \\ \\ 45.0\text{ }J=m*1.56\text{ }J\text{/}g \\ \\ Divide\text{ }both\text{ }sides\text{ }by\text{ }1.56\text{ }J\text{/}g \\ \\ \frac{45.0\text{ }J}{1.56\text{ }J\text{/}g}=\frac{m*1.56\text{ }J\text{/}g}{1.56\text{ }J\text{/}g} \\ \\ m=28.8\text{ }g \end{gathered}`

Therefore, the mass of the metal is 28.8 g.