The molar heat capacity of water at constant pressure, CP is 75 J textK- 1mol- 1 . When 10 kJ of heat is supplied to 1 kg water which is free to expand, the increase in temperature of water is

Question

The molar heat capacity of water at constant pressure, CP is 75 J textK- 1mol- 1 . When 10 kJ of heat is supplied to 1 kg water which is free to expand, the increase in temperature of water is (A) 2.4 K (B) 4.8 K (C) 3.3 K (D) 7.2 K

Tardigrade Admin · Accepted Answer

textq textm text= textmc textÎT qm=10 text kJ or 10000 text J, m=1000g c=75 text J textK- 1mol- 1 . Number of moles =(1000/18)=55.5 mol textÎT text= ( text10000/ text55 text.5 × text75) text= text2 text.4 textK

Q. The molar heat capacity of water at constant pressure, $C_{P}$ is 75 $J K^{- 1} m o l^{- 1}$ . When 10 kJ of heat is supplied to 1 kg water which is free to expand, the increase in temperature of water is

2.4 K

4.8 K

3.3 K

7.2 K

$q_{m} = mc ΔT$
$q_{m} = 10 kJ$ or $10000 J, m = 1000 g$
$c = 75 J K^{- 1} m o l^{- 1}$ . Number of moles $= \frac{1000}{18} = 55.5 m o l$
$ΔT = \frac{10000}{55 .5 \times 75} = 2 .4 K$

Q. The molar heat capacity of water at constant pressure, CP​ is 75 JK−1mol−1 . When 10 kJ of heat is supplied to 1 kg water which is free to expand, the increase in temperature of water is