Question

A 25.0 gram sample of magnesium at 22.0 degrees Celsius absorbs 356.3 J of heat. The temperature of the magnesium rises to 36.5 degrees Celsius. What is the specific heat of the magnesium?

Answer 1

The specific heat of magnesium can be calculated using the formula q = mcΔT. By rearranging the formula and plugging in the given values of heat absorbed, mass, and temperature change, the specific heat of magnesium is determined to be 0.983 J/g°C.

Step-by-step explanation:

To calculate the specific heat of magnesium, we can use the formula

q = mcΔT

Where:

• q is the heat absorbed (in joules)
• m is the mass of the substance (in grams)
• ΔT is the change in temperature (in degrees Celsius)
• c is the specific heat (in J/g°C, the value we're trying to find)

In the given problem:

• q = 356.3 J
• m = 25.0 g
• ΔT = 36.5°C - 22.0°C = 14.5°C

Rearrange the formula to solve for c:

c = q / (mΔT)

Substitute the given values:

c = 356.3 J / (25.0 g × 14.5°C)

Calculate:

c = 356.3 J / (362.5 g°C

c = 0.983 J/g°C

So the specific heat of magnesium is 0.983 J/g°C.