Question

The specific heat of nickel is 0.44 J/g*⁰C. How much energy needed to change the temperature of 95.4g of nickel from 22⁰C to 32⁰C. Is the energy absorbed or released?

Answer 1

Answer : The amount of energy needed is, 419.76 J and the energy is absorbed.

Solution :

Formula used :

`Q=m* c* \Delta T=m* c* (T_(final)-T_(initial))`

where,

Q = heat gained or absorbed = ?

m = mass of nickel = 95.4 g

c = specific heat of nickel =
`0.44J/g^oC`

`\Delta T=\text{Change in temperature}`

`T_(final)` = final temperature =
`32^oC`

`T_(initial)` = initial temperature =
`22^oC`

Now put all the given values in the above formula, we get

`Q=95.4g* 0.44J/g^oC* (32-22)^oC`

`Q=419.76J`

The value of Q is positive that means energy is absorbed.

Therefore, the amount of energy needed is, 419.76 J and the energy is absorbed.

Answer 2

To determine the heat or energy needed for the process, we use the equation,
H = mcpdT
where m is the mass, cp is the specific heat and dT is the temperature difference.
H = (95.4g)(0.44 J/g°C)(32°C - 22°C)
= 419.76 J
Thus, the amount of heat that should be ABSORBED is approximately 419.76 J.