Find the heat needed to raise the temperature of 100 g of a metal through 10 C IF THE SPECIFIC HEAT OF THE METAL IS 0.1 CAL /g. c solve
Answers
What is heat capacity?
Heat capacity is the amount of heat required to be supplied to mass of a material in order to produce a unit change in its temperature is called as heat capacity. It is an extensive property.
While specific heat capacity is defined as the amount of heat energy in joules required to raise the temperature of 1 gram of a substance by temperature of 1 Kelvin.
The formula for specific heat capacity is :-
Now come to the Question:-
Given :-
Mass (m) = 100g
Temperature (T2-T1) = 10°C
Specific heat (c) = 0.1g/gram C°
Let the heat capacity be Q.
Therefore formula will be as
Hence:-
The heat capacity is 100 calories.
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Answer:
What is heat capacity?
Heat capacity is the amount of heat required to be supplied to mass of a material in order to produce a unit change in its temperature is called as heat capacity. It is an extensive property.
While specific heat capacity is defined as the amount of heat energy in joules required to raise the temperature of 1 gram of a substance by temperature of 1 Kelvin.
The formula for specific heat capacity is :-
\sf{Specific \: heat \: 'c' \: = \frac{Q}{m} \: (T2 - T1)}Specificheat
′
c
′
=
m
Q
(T2−T1)
Now come to the Question:-
Given :-
Mass (m) = 100g
Temperature (T2-T1) = 10°C
Specific heat (c) = 0.1g/gram C°
Let the heat capacity be Q.
Therefore formula will be as
\begin{gathered}\sf{c = \frac{Q}{mT}} \\ \\ \sf{On \: Using \: the \: values} \\ \\ = > \sf{0.1 = \frac{Q}{100g \times 10} } \\ \\ = > \sf{Q = 100 \times 10 \times 0.1} \\ \\ = > \sf{q = 100 \: calorie}\end{gathered}
c=
mT
Q
OnUsingthevalues
=>0.1=
100g×10
Q
=>Q=100×10×0.1
=>q=100calorie
Hence:-
The heat capacity is 100 calories.