Question

How many joules of heat are needed to raise the temperature of 10.0 g of aluminium from 22°C to 55°C if the specific heat of aluminium is 0.90 J/goC?

Answer 1

Answer:

Hence, the heat required by 10.0 g of aluminum to raise the temperature from 22∘C to 55∘C is 297 Joules.

Answer 2

Given: mass of aluminium, m = 10.0 g

           temperature, T₁ = 22 °C, and T₂ = 55 °C

           specific heat of aluminium, c  = 0.90 J / g°C

To Find: heat energy, q.

Solution:

To calculate q, the formula used:

• q = m x c x Δ T
• here, q is the heat energy needed

        m is the mass of the substance

        c is the specific heat of the substance

        ΔT is the change in temperature

Applying the above formula:

q = m x c x ΔT

q = 10.0 x 0.90 x ΔT                                       ⇒ 1

here, ΔT = T₂ - T₁

              = 55 °C - 22 °C

         ΔT = 33°C

Putting the value of  ΔT in equation 1:

q  =  10.0 x 0.90 x 33

   =   9 x 33

   =   297

q  = 297 J

Hence, the heat needed to raise the temperature is 297 joules.