Question

How much heat, in joules, must be added to a 500-g iron skillet to increase its temperature from 25 °C to 250 °C? The specific heat of iron is 0.451 J/g °C

a) 1,127,500 J
b) 112,750 J
c) 112,750,000 J
d) 112,750,000,000 J

Answer 1

The heat required to raise the temperature of a 500 g iron skillet from 25 °C to 250 °C is 50,562.5 J, calculated using the formula q = mcΔT, with m being mass, c being the specific heat, and ΔT being the change in temperature.

Step-by-step explanation:

To calculate the heat required to increase the temperature of an iron skillet from 25 °C to 250 °C, we can use the formula:

q = mcΔT

where:

• q is the heat in joules,
• m is the mass of the skillet in grams,
• c is the specific heat of iron,
• ΔT is the change in temperature in °C.

Given:

• m = 500 g,
• c = 0.451 J/g°C,
• ΔT = (250 °C - 25 °C) = 225 °C.

Plugging these values into the formula:

q = (500 g) × (0.451 J/g°C) × (225 °C) = 50,562.5 J

Therefore, the heat required is 50,562.5 J, which is not one of the answer choices provided, suggesting there might be a typo in the answer options or in the question itself.