3 grams of Aluminum was heated from 20 0 C to 662 0 C while absorbing 1728 J of heat. What is the specific heat of Aluminum?

write me a equation

The equation to calculate the specific heat of a substance is:

q = m x c x ΔT

Where:
q = amount of heat absorbed (in Joules)
m = mass of the substance (in grams)
c = specific heat of the substance (in J/g°C)
ΔT = change in temperature (in °C)

In this case, we know:
q = 1728 J
m = 3 g
ΔT = 662°C - 20°C = 642°C

Plugging these values into the equation, we get:

1728 J = 3 g x c x 642°C

And rearranging the equation to solve for c, we have:

c = 1728 J / (3 g x 642°C)

Therefore, the equation to calculate the specific heat of Aluminum is:

c = 0.898 J/g°C

To calculate the specific heat of aluminum, we can use the formula:

q = mcΔT

Where:
q = heat absorbed or released by the substance (in joules)
m = mass of the substance (in grams)
c = specific heat of the substance (in J/g°C)
ΔT = change in temperature (in °C)

Given values:
q = 1728 J
m = 3 g
ΔT = 662°C - 20°C = 642°C

The equation becomes:

1728 J = 3 g * c * 642°C

Now, divide both sides of the equation by the product of mass (m) and ΔT:

c = 1728 J / (3 g * 642°C)

Therefore, the equation for calculating the specific heat of aluminum is:

c = 1728 J / (3 g * 642°C)

Sure! The specific heat of a substance is defined as the amount of heat energy required to raise the temperature of one gram of the substance by one degree Celsius (or Kelvin).

Let's use the formula:

Q = m * c * ΔT

Where:
Q is the amount of heat absorbed (in joules),
m is the mass of the substance (in grams),
c is the specific heat of the substance (in joules/gram°C),
ΔT is the change in temperature (in °C).

In this case, we have:
Q = 1728 J,
m = 3 g,
ΔT = (662°C - 20°C) = 642°C

Rearranging the equation to solve for c, we get:

c = Q / (m * ΔT)

Plugging in the given values, the equation becomes:

c = 1728 J / (3 g * 642 °C)

Now we can calculate the specific heat (c).