Question

The thermal capacity of $10g$ of a substance is $8cal/kelvin$. Its specific heat is in $J/kg-k$ is ________.

• A. $3360$
• B. $3630$
• C. $6330$
• D. $3306$

Answer 1

The correct option is A $3360$

Explanation The thermal capacity of $10g$ of a substance is $8cal/c$

given $m=10g$

$\Delta Q=8cal/c$

To convert $8cal/ctoj/kg$

We should multiply $8$ with $\frac{4.2}{10}$ to the power of $-3$

Then we will get on taking $10$ power $-3$ to the numerator $10$ power $3$

So specific heat = $\frac{\Delta Q}{m}$

So specific heat $=8\times 4.2\times 10$ to power of $\frac{3}{10}$

$=8\times 4.2\times 100$

$=800\times 4.2$

$=800\times \frac{42}{10}$

$=80\times 42$

$=3360$