Question

how much heat is required to heat 50.0 g of gold from 25.0 to 29.0 °c if the specific heat is 0.0305 cal/g°c?
how do we start the problem?
give two correct answers
select 2 correct answer(s)
1 g °c
(------------)
0.0305 cal
0.0305 cal
(------------)
1 g °c
(0.0305 cal/1 g °c)
(1 g °c/0.0305 cal)

Explanation:

Step1: Identify the formula

The formula for heat is $q = mc\Delta T$, where $q$ is heat, $m$ is mass, $c$ is specific - heat, and $\Delta T$ is change in temperature. The specific heat $c = 0.0305$ cal/g°C means that 0.0305 cal of heat is required to raise the temperature of 1 g of the substance by 1°C. So, for 1 g°C of the substance, the heat required is 0.0305 cal.

Step2: Analyze the units

The specific - heat has units of cal/g°C. This implies that for every 1 g°C (a combination of 1 g of mass and a 1°C change in temperature), the amount of heat is 0.0305 cal.

Answer:

1 g °C (0.0305 cal), 0.0305 cal (1 g °C)