Question

What will be the amount of mercury, if the specific heat capacity of mercury is $0.14J{g}^{-1}°C^{-1}$ and heat capacity is $140J{g}^{-1}°C^{-1}$?

• A. $1kg$
• B. $100g$
• C. $10g$
• D. $200g$

Answer 1

The correct option is A

$1kg$

Step 1: Analysing the given data:
Given:
Specific heat capacity of mercury $\left(c_s\right)=0.14J{g}^{-1}°C^{-1}$
Heat capacity of mercury $\left(c\right)=140J{g}^{-1}°C^{-1}$
Find: Amount of mercury (m)

Step 2: Calculating the amount of mercury:
Heat capacity is given by: $c=\frac{Q}{m∆T}$
$\Rightarrow mc=\frac{Q}{∆T}$ ----- (i)
However, for specific heat, $m=1g$
$\Rightarrow c_s=\frac{Q}{∆T}$ ------ (ii)
Equating equations (i) and (ii), we get;
$mc=c_s$
$\Rightarrow m=\frac{c_s}{c}$
$\Rightarrow m=\frac{140}{0.14}$
$\Rightarrow m=1000g$
$\Rightarrow m=1kg$

Thus, the amount of mercury is $1kg$.
Hence, Option (A) is the correct answer.