When a $60 \mathrm{~W}$ electric heater is immersed in a gas for 100 s in a constant volume container with adiabatic walls, the temperature of the gas rises by $5^{\circ} \mathrm{C}$. The heat capacity of the given gas is ___________ $\mathrm{J} \mathrm{K}^{-1}$ (Nearest integer)
Answer (integer)
1200
Solution
<p>The heat provided by the heater is given by the equation:</p>
<p>$Q = \text{Power} \times \text{Time}$</p>
<p>Substituting the given values:</p>
<p>$Q = 60 \, \text{W} \times 100 \, \text{s} = 6000 \, \text{J}$</p>
<p>The heat capacity (C) is defined as the amount of heat required to raise the temperature of a substance by one degree. It is given by the equation:</p>
<p>$C = Q/\Delta T$</p>
<p>Substituting the given values:</p>
<p>$C = 6000 \, \text{J} / 5 \, \text{°C} = 1200 \, \text{J/K}$</p>
<p>So, the heat capacity of the given gas is approximately 1200 J/K.</p>
About this question
Subject: Chemistry · Chapter: Thermodynamics · Topic: Zeroth and First Law
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