Question

What is the heat produced when 4 g of anhydrous solid is added to 50 g of water? The temperature of water increase by 8${}^o$C during this process.

• A. 0.400 kJ
• B. 1.672 kJ
• C. 2.000 kJ
• D. 0.836 kJ

Answer 1

The correct option is B 1.672 kJ

Given:

Mass of water = $50$ $g$

Rise in temperature = $8^{o}C$

Heat produced $\left(q\right)$ when $4$ $g$ of anhydrous solid is added to $50$ $g$ of water can be calculated using the below equation:

$q$ $=$ $cm\Delta T$

where, $q$ $=$ Heat produced

$c$ $=$ specific heat capacity of water, $c$ $=$ $4.18$ $kJ$ ${kg}^{-1}$ ${}^o{C}^{-1}$

$m=$ $50$ $g$

$\Delta T$ $=$ $8^{o}C$

Therefore,

$q$ $=$ $4.18$ $kJ$ ${kg}^{-1}$ ${}^0{C}^{-1}$ $\times$ $\frac{50}{1000}$ $kg$ $\times$ $8$ ${}^{0}C$

$q$ $=$ $1.672$ $kJ$

So, the correct answer is ${}^{\prime }{B}^{\prime }$.