Question

Calculate the energy, in joules, to heat two cubes (silver and copper), each with a volume of 10.0cm, from 15 C to 25 C​

Answer 1

For Silver , The heat absorbed = 246.75 J

For Copper , The heat is = 343.42 J

Step-by-step explanation:

The change in temperature is calculated by:

`\Delta T=T_(2)-T_(1)`

T2 = 25 C

T1 = 15 C

`\Delta T=25-15`

`\Delta T=10^(0)C`

The energy in Joules can be calculated using :

`q=mc\Delta T`

here , m = mass of the substance

c = the heat capacity

q = heat absorbed / released

We need to calculate the mass , In order to determine the value of "q".

Calculation for Silver :

The mass is calculated from the density of the element.

density of Silver = 10.5 g/ml (look at the table of density)

Volume of Cube = 10 cm^3 (given)

1 cm^3 = 1 mL

10 cm^3 = 10 mL

The mass can be calculated using the formula:

`mass = density* Volume`

`mass = 10.5* 10`

`mass = 105grams`

Insert the value of m , c, T in the equation.

for Silver the value of "c"= 0.235 J/gC (Look at the table)

`q=mc\Delta T`

`q=105* 0.235* 10`

`q=246.75J`

Calculation for Copper:

Again first calculate the mass of Copper.

Density of Copper = 8.92 g/ml

Volume = 10 mL

`mass = density* Volume`

`mass = 8.92* 10`

`mass = 89.2grams`

Insert the value of m , c, T in the equation.

for Silver the value of "c"= 0.385 J/gC (Look at the table)

`q=mc\Delta T`

`q=89.2* 0.385* 10`

`q=343.42J`