Question

What is the specific heat of a metal if 100 joules are needed to raise 10 grams of water by 20°C?

A) 0.5 j°C / kg
B) 1.0 j°C / kg
C) 2.0 j°C / kg
D) 200 j°C / kg

Answer 1

answer: a) 0.5 J/g C

Answer 2

Answer: Option (A) is the correct answer.

Step-by-step explanation:

Specific heat is defined as the amount of heat needed to raise the temperature by one degree celsius.

Mathematically, Q =
`mC \Delta T`

where Q = heat absorbed

m = mass

C = specific heat

`\Delta T` = change in temperature

Therefore, in 1 kg there are 100 grams so, 10 grams equal 0.01 Kg. Thus, calculate the specific heat value as follows.

Q =
`mC \Delta T`

100 joules =
`10 g * C * 20^(o)C`

C = 0.5
`J/g ^(o)C`

Thus, we can conclude that specific heat of the given metal is 0.5
`J/g ^(o)C`.