Question

When you add $16,000J$ of heat to $4.0kg$ of a substance, its temperature changes by $40.0$ degree Celsius.
What is the specific heat capacity of this substance?

• A. $100$ Joules per kilogram degree Celsius
• B. $1600$ Joules per kilogram degree Celsius
• C. $2,560,000$ Joules per kilogram degree Celsius
• D. $160,00$ Joules per kilogram degree Celsius
• E. Not enough information is provided to answer this question

Answer 1

The correct option is A $100$ Joules per kilogram degree Celsius

Given : $m=4.0$ kg $\Delta T={40.0}^{o}C$

Heat added to raise the temperature $Q=16000$ $J$

Let the specific heat capacity of the substance be $S$.

Using $Q=mS\left(\Delta T\right)$

$\therefore$ $16000=4.0\times S\times 40.0$ $⟹S=100$ $J/\left(kg{.}^{o}C\right)$