The molar heat capacity of water at constant pressure, $C$ , is $75 J K^{- 1} m o l^{- 1}$ . When $1.0 k J$ of heat is supplied to $100 g$ of water which is free to expand, the increase in temperature of water is :

1.2 K

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2.4 K

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4.8 K

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6.6 K

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Solution

The correct option is B $2.4 K$
Molar heat capacity of $H_{2} O$ at constant pressure i.e;

$C_{P} = 75 J / K / m o l$

We know that, $△ Q = n C_{P} △ T$

$\Rightarrow 1 \times 10^{3} J = \frac{100}{18} \times 75 (△ T)$

$\Rightarrow \frac{10^{3} \times 18}{10^{2} \times 75} = △ T$

$\Rightarrow 2.4 = △ T$ .

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The molar heat capacity of water at constant pressure, C, is 75 JK−1mol−1. When 1.0 kJ of heat is supplied to 100 g of water which is free to expand, the increase in temperature of water is :

The correct option is B 2.4 KMolar heat capacity of H2O at constant pressure i.e;CP=75J/K/molWe know that, △Q=nCP△T⇒1×103J=10018×75(△T)⇒103×18102×75=△T⇒2.4=△T.

The molar heat capacity of water at constant pressure, $C$ , is $75 J K^{- 1} m o l^{- 1}$ . When $1.0 k J$ of heat is supplied to $100 g$ of water which is free to expand, the increase in temperature of water is :