Question

A substance has specific heat capacity 0.5 cal/g 0C. What amount of heat will be required to increase the temperature of 2 kg of this substance by 30 °C?

Answer 1

Given :

Specific heat capacity of the substance = 0.5 cal/g

Mass of the substance = 2 kg

To Find :

Amount of heat that will be required to raise the temperature of this substance by 30 °C = ?

Solution :

Since we know that using the concept of heat capacities , the amount of heat required to raise the temperature of a substance is given as :

$Q = mC\Delta T$

Here , Q is heat required , m is mass of the substance , C is specific heat capacity and $\Delta T$ is change in temperature .

So , on putting the given values in this equation :

$Q = (2 \times 1000)g \times 0.5 \frac{cal}{g}\times 30$

   = 30,000 Cal

   = 30 KCal

Hence , the amount of heat required is 30 Kcal .

Answer 2

The heat required to increase the temperature by 30°C is 30 kcal

Explanation:

Given

Specific heat capacity C = 0.5 cal/g°C

Mass of the substance m = 2 kg = 2000 g

Change in temperature of the substance

?T = 30°C

Using the formula of the hear required

$Q=mc\Delta T$

$Q=2000\times 0.5\times 30$

$\implies Q=30000$ cal

or, $Q=30$ kcal

Hence, the heat required to increase the temperature by 30°C is 30 kcal

Hope this answer is helpful.

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