Which item has more thermal energy?

Question 6 options:

a.) 500 ml of water at 50 degrees Celsius

b.) 100 ml of water at 50 degrees Celsius

c.) They both have the same thermal energy

More of Thermal Energy - Option A

500ml of water at 50 degrees Celsius has more thermal energy because thermal energy depends upon the temperature as well as a number of molecules. So 500ml water contains more molecules of water, therefore, it has more thermal energy as compared to the 100ml of water at 50 degrees Celsius.

They do not have the same thermal energy because the concentration of water is different and thermal energy depends upon the number of molecules.

Here we have to get the item which has more thermal energy among the given options.

The item a) will have more thermal energy than b)

The thermal energy of a compound can be determined from the formula H = m*s*t (H = thermal energy, m = mass of the compound, s = specific heat of the compound, t = temperature)

a) Here m = 500 g, s = 1 g/mL and t = 50⁰C (as the density of water is 1 g/mL thus its volume is equivalent to its mass)

Thus the thermal energy H = 500 * 1 * 50 = 25000 Cal (The energy needed to raise 1⁰C temperature of 1g water is calorie unit)

similarly,

b) Here m = 100 g, s = 1 g/mL and t = 50⁰C (as the density of water is 1 g/mL thus its volume is equivalent to its mass)

Thus the thermal energy H = 100 * 1 * 50 = 5000 Cal (The energy needed to raise 1⁰C temperature of 1g water is calorie unit).

Thus option a) i. e. 500 mL of water at 50 degree Celsius will have more thermal energy.

Thus the thermal energy of both the item have calculated and compared.