Question

The nutritional information on a cereal box shows that one serving of a dry cereal has 200kilocalories. If one were to burn one serving of the cereal, the amount of heat given off would besufficient to raise the temperature of 20 kg of water how many degrees Celsius?

Answer 1

Answer: The increase in temperature is 10°C

Explanation:

To calculate the change in temperature, we use the equation:

$q=mc\Delta T$

where,

q = heat absorbed = 200 kCal = 200,000 Cal   (Conversion factor: 1 kCal = 1000 Cal)

m = mass of water = 20 kg = 20000 g    (Conversion factor: 1 kg = 1000 g)

c = specific heat capacity of water = 1 Cal/g.°C

$\Delta T$ = change in temperature = ?

Putting values in above equation, we get:

$200,000Cal=20,000g\times 1J/g.^oC\times \Delta T\\\\\Delta T=\frac{200,000Cal}{20,000g\times 1Cal/g^oC}=10^oC$

Hence, the increase in temperature is 10°C