To calculate the change in internal energy of water as it is heated, we can use the formula:
ΔU = m * c * ΔT
where: ΔU is the change in internal energy, m is the mass of the water (in kg), c is the specific heat capacity of water (in J/kg·K), ΔT is the change in temperature (in K).
Given: Mass of water, m = 50 g = 0.05 kg Specific heat capacity of water, c = 4184 J/kg·K Change in temperature, ΔT = (37°C - 21°C) = 16°C
Let's substitute these values into the formula to calculate the change in internal energy:
ΔU = 0.05 kg * 4184 J/kg·K * 16 K
ΔU = 3347.2 J
Therefore, the internal energy of 50 g of water changes by 3347.2 joules as it is heated from 21°C to 37°C.