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.