Question

Calculate the specific heat of 15g of aluminum using 100g of water.

A) 0.24 J/g°C
B) 0.22 J/g°C
C) 0.18 J/g°C
D) 0.20 J/g°C

Answer 1

To calculate the specific heat of aluminum, use the equation Q=mcΔT. For the water, Qw=(100g)(4.18 J/g°C)(ΔTw). For the aluminum, Qa=(15g)(c)(ΔTa). To find the specific heat of aluminum, rearrange the equation c=Qa/(mΔTa) and solve for c using the given values.

Step-by-step explanation:

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

Q = mcΔT

where Q is the heat transferred, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.

For the water:

Qw = mwcwΔTw

Qw = (100g)(4.18 J/g°C)(ΔTw)

Qw = (418 J/°C)(ΔTw)

For the aluminum:

Qa = mAcΔTa

Qa = (15g)(c)(ΔTa)

Qa = (15g)(c)(ΔTa)

To find the specific heat of aluminum, rearrange the equation:

c = Qa / (mΔTa)

Substituting the given values:

c = (27.0 kJ) / (15g × (ΔTa))