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

Question

asked May 11, 2020 85.0k views

2 Answers

Gustyn · Answer 1 · 2020-05-16T16:59:14+0000

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
.